{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Table of Contents](./table_of_contents.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Smoothing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from __future__ import division, print_function\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <style>\n",
       "        .output_wrapper, .output {\n",
       "            height:auto !important;\n",
       "            max-height:100000px; \n",
       "        }\n",
       "        .output_scroll {\n",
       "            box-shadow:none !important;\n",
       "            webkit-box-shadow:none !important;\n",
       "        }\n",
       "        </style>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#format the book\n",
    "import book_format\n",
    "book_format.set_style()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The performance of the Kalman filter is not optimal when you consider future data. For example, suppose we are tracking an aircraft, and the latest measurement deviates far from the current track, like so (I'll only consider 1 dimension for simplicity):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2EAAAGACAYAAAAki2oxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nOzde3RU52Hu/+9oRhd0RUgDSIAuCIEAAQ63Jm5SAbWd2LFPXTtuTrrSOvFKvGIn59c4iW3qc8DY4NXgKE2zXK821E56WqcnJ/axm2PnkMYQcOs0icGYiwQSstAFIYEu6H6fmf37Q8xmtjSSRtJIM6N5Pmt52Z539jvv3vPMq3nn3fvdNsMwDERERERERGROxIS6ASIiIiIiItFEgzAREREREZE5pEGYiIiIiIjIHNIgTEREREREZA5pECYiIiIiIjKHNAgTERERERGZQ45QNyBceTwePB6P5TGbzYbNZgtRi0REREREJBwZhsHoO3/FxMQQE+N/zkuDsHF4PB56e3tD3QwREREREYlASUlJ4w7CdDqiiIiIiIjIHNIgTEREREREZA5pECYiIiIiIjKHdE3YOPwtwDHReZ0iIiIiIhKd/K0nMdGCfhqEjcPfQZtohRMRERERERGviQZhGlGIiIiIiIjMIc2ERZCLFy/icrlwOBysXr061M2REFEORBkQZUBAORBlIJJpEBZB+vv7GR4eJjY2NtRNkRBSDkQZEGVAQDkQZSCS6XTECGKz2cx/JHopB6IMiDIgoByIMhDJbIZhGKFuRDjyeDx0d3dbHktJSdHCHCIiIiIiYjHVsUPIRxTd3d088cQT3HHHHTidTmw2G/v27RvzvHfffZcvfelLbNmyhfj4eGw2G7W1tdN6zf7+flavXo3NZqO0tHRmOyAiIiIiIjIFIR+EtbW1cejQIQYHB7n33nvHfd7Ro0c5cuQIOTk53HrrrTN6zT179oxZx19ERERERGQuhHwQlpubS3t7O++88w5/9Vd/Ne7z9uzZQ21tLW+88Qaf/vSnp/167733Hi+88ALf//73p12HiIiIiIjIdIV8dcRALyQMxrVYQ0NDPPTQQ3z1q19l69atM65vrrW0tOB2u7Hb7TidzlA3R0JEORBlQJQBAeVAlIFIFvJB2Fx69tln6e3tZf/+/bS0tEx5+/LycnJzc0lNTTUfGxwcpKKiAoD09HRycnIs21RVVdHX1wfApk2bLGWtra1cuXIFgJycHNLT080yt9tNWVkZMHJR38qVK2lsbDSXIe3p6aGrqwuA9evX43DcfCs7Ojqoq6sDIDs7e8yH8uzZsxiGwYIFC8bcU+Ly5ctcv34dgDVr1pCQkGCW9fT0UF1dDcDixYvJysqybHv+/HmzfevWrbOUNTU10dzcDEBBQQHJyclm2cDAAJWVlQAsWrSIFStWWLa9ePEi/f392Gw2Nm7caClraWmhsbERGJlVXbhwoVnmcrkoLy8HIDU1lfz8fMu2ly5dMi+gLC4uxm63m2Xt7e3U19cDsGzZMjIzMy3bnjlzBoDExEQKCwstZfX19bS3twNQVFREfHy8WdbV1UVNTQ0AS5YsYenSpZZty8vLcblcxMfHU1RUZClrbGykpaWF4eFhAGJjY833tq+vj6qqKgAyMjJYvny5ZdvKykoGBgaw2+0UFxdbypqbm2lqagIgLy+PtLQ0s2xoaIgLFy4AkJaWRl5enmXb6upqenp6ANiwYYPlx5K2tjYaGhoAWL58ORkZGWaZx+Ph3LlzACQnJ1NQUGCpt7a2ls7OTgDWrl1LXFycWdbZ2WleD5qVlcXixYst25aVleF2u0lISGDNmjWWsoaGBtra2gAoLCwkMTHRLOvt7eXDDz8EwOl0kp2dbdm2oqKCwcFBHA4H69evt5RdvXqVa9euAZCfnz/rfYS3L/D+t7eP8FVTU6M+gvnbR7hcLgzDsPQD3j4CYNWqVSQlJZnbqY+4aT71EQ0NDbjdbgAcDsek3yN8qY8YEel9xLVr18xj5nQ6A/oeAeojZqOP8H5OAxU1g7DTp0/z/PPP8+abb5KUlDStQZj3j54vwzDML0Mul8vvNt7y0Twej1nm8XjGlAda7+g2+dbr7ZxH1+v94z2a2+2eUb3j7atvvaP31fcY+qvXu6/+Zk0DrTdc3pvJ9nV4eBiXy+V35td3X0cLpN7h4WG/ZRO9595tJ6vXn0CPob/tZ7KvQ0NDeDweyx9Df/VO573xfnamW2+wc+htl/qI6Osj/AlGvtVHRFYf4VuXvkeoj/DWG8j3iPnSRzR0uXjxly3cvmGYJz51c9AZqj5iKqJiEOZyuXjooYf47Gc/yyc/+clp1+NwOMZ8gG02m9kJ+f6K5LvNeDfQi4mJMcv8fVhG15ubm4vH4yEmJob29nazfHSbfOv1F6DY2FgMw/DbXrvdPqN6ff89Xr2j99X3GPqr13sM/XWegdY72+/NePVOlJfxjqHvc3x599Xj8bB06VIWLFgwpXq9pyuMV6+/9vru63j1zvQYTpaX0Sbb17i4ONxu96T1Tue98Xg8U/7czEYOc3NzcblcXL58mZiYmCnnUH3E2HojrY+w2+1kZ2dbXnum+VYfEXl9RGZmpvmrfDBzqD5ibL3h2kf4fjf01jvZ94hA6vXX3nDsIy62D1LVNojzcse4bRptNvuIqQir+4S1trbidDp5+umn/S5T71VaWsrjjz9OTU3NmGnN8Z5/4MABTp48aU4H19fXs2nTJvbv38/XvvY1UlJSLG+E7hMmIiIiIhK+vvG/T/P6B1f4//6wkG/cvnryDWZRxN0nbC6UlZXR2dlJYWEh6enppKenm+dV79mzh/T0dPO8UhERERERCX8n6kauP9yWlz7JM8NPVJyOuHv3br7whS9YHrt69Sqf+9zn+MpXvsJnP/tZVq1aFZrGiYiIiIjIlFztHODy9X5ibPCRHA3CpuXw4cP09vaaU3jnz5/ntddeA+Cuu+4iMTGRlpYW3nnnHQBz1urw4cM4nU6cTiclJSVmfQ6Hg5KSEo4ePQqMrCwzeoUY76ooBQUF7NixYzZ3L2i8C4PYbDa/5xBLdFAORBkQZUBAOZDozsDJG7Ng67JTSY6PvH0PixY/8sgj5lKoAK+++iqvvvoqgHndV3l5OQ888IBlu0cffRSAkpISjh8/bj7udrv9rnYS6crLy81lSEcvUyvRQzkQZUCUAQHlQKI7AydrR5bx35q7KMQtmZ6wGIR5Z6UmsmPHjoCXfgzkeXl5eVNeSlJERERERELvRK33ejANwmSWpaam4nK5om66WayUA1EGRBkQUA4kejPQPTDMhaaRm41vjcBFOUCDsIgy+k7tEp2UA1EGRBkQUA4kejPwQX0HHgNyFiWyJDUh1M2ZlqhYol5EREREROaHkzdORYzUWTDQIExERERERCLIiRuLckTq9WCgQZiIiIiIiESIYbeHDy57B2GROxOma8IiyKVLl8yLL1euXBnq5kiIKAeiDIgyIKAcSHRmoLyxi4FhD+mJsRQ4k0PdnGnTICyCdHd3m/eCkOilHIgyIMqAgHIg0ZkB7/VgW3IXYbPZQtya6dPpiCIiIiIiEhFu3h8sck9FBLAZumOxXx6Ph+7ubstjKSkpxMSEbtzqdrvN/7bb7SFrh4SWciDKgCgDAsqBRF8GDMNg64EjtPUO8X8euZUtueEzEJvq2EGnI0aQaPhwyeSUA1EGRBkQUA4k+jJQ09pLW+8Q8Y4Yipelhro5M6LTEUVEREREJOydvLE0/aYVC4l3RPYAVIMwEREREREJe/PlejDQ6YgRpb29HY/HQ0xMDOnpkR8+mR7lQJQBUQYElAOJvgycrBuZCdsawTdp9tIgLILU19eby5BGwwdN/FMORBkQZUBAOZDoykBL9yA1rb3YbLA5J/L3VacjioiIiIhIWHu/buRUxDVLUkhbEPn3RdNMWARZtmyZOeUs0Us5EGVAlAEB5UCiKwMnbizKsW0enIoIGoRFlMzMzFA3QcKAciDKgCgDAsqBRFcGTt5YlGPrPFiUA3Q6ooiIiIiIhLG+IRdljV3A/FiUAzQIExERERGRMHa6vgO3xyA7LYFlCxeEujlBoUGYiIiIiIiELe/1YPNlFgx0TVhEOXPmjLkM6aZNm0LdHAkR5UCUAVEGBJQDiZ4MnKybPzdp9tJMmIiIiIiIhCWX28OpeXSTZi/NhEWQxMREXC4XDofetmimHIgyIMqAgHIg0ZGBiqvd9A65SUlwsHpJSqibEzTz9x2bhwoLC0PdBAkDyoEoA6IMCCgHEh0ZOHFjafotuenYY2whbk3whPx0xO7ubp544gnuuOMOnE4nNpuNffv2jXneu+++y5e+9CW2bNlCfHw8NpuN2tragF6jq6uL5557jh07drB06VKSk5PZsGEDBw8eZGBgILg7JCIiIiIiQXFynt2k2Svkg7C2tjYOHTrE4OAg995777jPO3r0KEeOHCEnJ4dbb711Sq9RX1/P3/zN37B582YOHTrE//2//5fPfOYz7Nu3j7vvvhvDMGa6GyIiIiIiEkSGYZgzYVtz58+iHBAGpyPm5ubS3t6OzWajtbWVl156ye/z9uzZw9NPPw1AaWkpx48fD/g18vPzqa2tJSkpyXxs165dJCUl8fjjj/PrX/+aj3/84zPaDxERERERCZ7L1/tp7h4k1m5j04qFoW5OUIV8EGazBXZuZ0zM9CftfAdfvrZv3w7A5cuXp133XKqvrzcvvszJyQl1cyRElANRBkQZEFAOZP5nwDsLtmFZGgmx9hC3JrhCPggLpV/96lcArF+/PqDnl5eXk5ubS2pqqvnY4OAgFRUVAKSnp4/5AFRVVdHX1wcw5v4Nra2tXLlyBYCcnBzS029Os7rdbsrKygBISUlh5cqVtLe3m/eCcLvddHV1me33XRWno6ODuro6ALKzs3E6nZbXPXv2LIZhsGDBAlavXm0pu3z5MtevjwR+zZo1JCQkmGU9PT1UV1cDsHjxYrKysizbnj9/3mzfunXrLGVNTU00NzcDUFBQQHJyslk2MDBAZWUlAIsWLWLFihWWbS9evEh/fz82m42NGzdaylpaWmhsbARGZlUXLrz5K4nL5aK8vByA1NRU8vPzLdteunSJ7u5uAIqLi7Hbb36429vbqa+vB2DZsmVkZmZatj1z5gwwsirR6Iti6+vraW8fOX+5qKiI+Ph4s6yrq4uamhoAlixZwtKlSy3blpeX43K5iI+Pp6ioyFLW2NhIS0sLw8PDAMTGxpp56+vro6qqCoCMjAyWL19u2bayspKBgQHsdjvFxcWWsubmZpqamgDIy8sjLS3NLBsaGuLChQsApKWlkZeXZ9m2urqanp4eADZs2GD5saStrY2GhgYAli9fTkZGhlnm8Xg4d+4cAMnJyRQUFFjqra2tpbOzE4C1a9cSFxdnlnV2dprXg2ZlZbF48WLLtmVlZbjdbhISElizZo2lrKGhgba2NmDkYubExESzrLe3lw8//BAAp9NJdna2ZduKigoGBwdxOBxj+oyrV69y7do1YGTmfbb7CG9f4P1vbx/hq6amRn0E87ePcLlcGIZh6Qe8fQTAqlWrLD9Aqo+4aT71EW1tbbjdbmDku8Jk3yN8qY8YEel9hO93w5ycnIC+R0Dk9BH/dmrkM1e8ZIFlu3DsI7yf00BF7SDs7NmzPP/88/zxH//xmA/keLx/9HwZhmF+GXK5XH638ZaP5vF4zDKPxzOmPNB6R7fJt15v5zy6Xu8f79HcbveM6h1vX33rHb2vvsfQX73effU3axpoveHy3ky2r8PDw7hcLr8zv777Olog9Q4PD/stm+g99247Wb3+BHoM/W0/k30dGhrC4/FY/hj6q3c67433szPdeoOdQ2+71EdEXx/hTzDyrT4isvoI37r0PUJ9hLfeQL5HREofcb55ZAG9jdnJY8rDsY+YiqgchNXW1nL33XezYsWKca9B88fhcIz5ANtsNrMT8nePBofD4beTgpFTLL1l/j4so+stKirCMAxsNhuNjY1m+eg2+dbrL0CxsbEYhuG3vXa7fUb1+v57vHpH76vvMfRXr/cY+us8A613tt+b8eqdKC/jHUPf5/jy7qthGOTm5lp+fQmkXrfb7bdsovfcd1/Hq3emx3CyvIw22b7GxcXhdrsnrXc6743H45ny52Y2clhUVITL5aKqqgqbzTblHKqPGFtvJPYRK1eutGw/03yrj4i8PiI7O5urV68Cwc2h+oix9YZrH+H73dBb72TfIwKp119757qP6Bxw09A9Mki6ZXnqmPJw7COmwmaE0dKAra2tOJ1Onn76ab/L1HuVlpby+OOPU1NTM2ZaczJ1dXXs2LEDm83Gv//7v4+ZbvXyeDzmFLNXSkrKjK5NExERERGRyb19/hpf/qeTrFqczJFvlIS6OZOa6tghqmbCvAMwwzA4fvz4uAMwEREREREJnZM3FuXYlje/lqb3ippBWH19PTt27MDtdnP8+HFyc3ND3SQREREREfHj5v3B5tdNmr3CYhB2+PBhent7zSm88+fP89prrwFw1113kZiYSEtLC++88w6AuRrK4cOHcTqdOJ1OSkpuTlM6HA5KSko4evQoMLJqy86dO2lqauLll1+mubnZXGEHRlZlioRZsa6uLvO8X9+VlSS6KAeiDIgyIKAcyPzNwMCwm3NXRlY33JanQdiseeSRR8ylUAFeffVVXn31VQDzuq/y8nIeeOABy3aPPvooACUlJZabN7vdbstqJ+fPn+fSpUsAfP7znx/z+pNdgxYuampqzGVIRy9TK9FDORBlQJQBAeVA5m8GzlzuYNhtsDglnhWLFky+QQQKi0GYd63+iXiv5QrE6OdNZVsREREREQmdk3Uj90nblrdoyqsORoqwGIRJYJYsWTLu8qASPZQDUQZEGRBQDmT+ZsC8HmyeLsoBGoRFlKVLl4a6CRIGlANRBkQZEFAOZH5mwO0xeN9nJmy+0k2vREREREQkLFy81k33gIukODtFS1NC3ZxZo0GYiIiIiIiEBe/9wTbnpuOwz9+hyvzdMxERERERiSgnakdORZyv9wfz0jVhEaS8vNxchnT9+vWhbo6EiHIgyoAoAwLKgczPDHhnwrbN40U5QIOwiOJyuXC5XPN2qU4JjHIgyoAoAwLKgcy/DFzp6KexcwB7jI1bchaGujmzSoOwCBIfH09MTAyxsbGhboqEkHIgyoAoAwLKgcy/DHhnwYqzU0mMm9/DlPm9d/NMUVFRqJsgYUA5EGVAlAEB5UDmXwZu3h9sfl8PBlqYQ0REREREwsDJWu/9web39WCgQZiIiIiIiIRYZ98wlde6Adgyz1dGBA3CREREREQkxE7Vt2MYkJ+ZhDMlPtTNmXW6JiyCNDY24na7sdvtZGdnh7o5EiLKgSgDogwIKAcyvzJgXg+WO/9PRQQNwiJKS0uLeS+ISP+gyfQpB6IMiDIgoBzI/MrAzevB5v+piKDTEUVEREREJIQGXW5ON3QAsDUKFuUAzYRFlFWrVmEYxry5IZ9Mj3IgyoAoAwLKgcyfDJRd6WTI5SEjKY78zKRQN2dOaBAWQZKSoiOUMjHlQJQBUQYElAOZPxk4ceNUxK156RE/oAyUTkcUEREREZGQOXljUY5ouR4MNAgTEREREZEQ8XgMTtZ5Z8KiZxCm0xEjSF9fn3neb2JiYqibIyGiHIgyIMqAgHIg8yMD1S09dPQNkxAbw/rs1FA3Z85oEBZBqqqqzGVIN23aFOrmSIgoB6IMiDIgoBzI/MiA93qwj6xIJ9YePSfpRc+eioiIiIhIWLl5PVh0LE3vpZmwCJKRkWHeFV2il3IgyoAoAwLKgcyPDJyoGxmERdP1YBAGM2Hd3d088cQT3HHHHTidTmw2G/v27RvzvHfffZcvfelLbNmyhfj4eGw2G7W1tVN6rSNHjvCxj32MxMREMjMz+cIXvkBzc3NwdmQOLF++nNzcXJYvXx7qpkgIKQeiDIgyIKAcSORn4FrXAJev9xNjg4/kLAx1c+ZUyAdhbW1tHDp0iMHBQe69995xn3f06FGOHDlCTk4Ot95665Rf55133uHOO+9kyZIl/OxnP+P73/8+R44c4Q//8A8ZHBycyS6IiIiIiMgUnbxxPdjarFRSEmJD3Jq5FfLTEXNzc2lvb8dms9Ha2spLL73k93l79uzh6aefBqC0tJTjx49P6XUef/xxVq9ezWuvvYbDMbLb+fn5/P7v/z4//OEPeeSRR2a0HyIiIiIiErgTUXh/MK+Qz4TZbLaA7owdEzP9pl65coUTJ07wZ3/2Z+YADODWW29l9erVvPHGG9OuW0REREREpu6keT1YdC3KAWEwEzYXysrKANi4ceOYso0bN/LrX/96rps0LZWVleYypGvWrAl1cyRElANRBkQZEFAOJLIz0DPo4nxjFwBbc6NvJiwqBmFtbW0ALFo09g1etGiRWT6Z8vJycnNzSU29eSO5wcFBKioqAEhPTycnJ8eyTVVVFX19fQBj7t/Q2trKlStXAMjJySE9/eavAG632xw8pqSksHLlSgYGBhgeHsbtdlNTU0NX10hw169fb5nh6+jooK6uDoDs7GycTqfldc+ePYthGCxYsIDVq1dbyi5fvsz16yO/SqxZs4aEhASzrKenh+rqagAWL15MVlaWZdvz58+bHcG6dessZU1NTeYiKAUFBSQnJ5tlAwMDVFZWAiPvx4oVKyzbXrx4kf7+fmw225iBdEtLC42NjcDIqa0LF968qNPlclFeXg5Aamoq+fn5lm0vXbpEd3c3AMXFxZaVhdrb26mvrwdg2bJlZGZmWrY9c+YMAImJiRQWFlrK6uvraW8fOce5qKiI+Ph4s6yrq4uamhoAlixZwtKlSy3blpeX43K5iI+Pp6ioyFLW2NhIS0sLw8PDwEhGvPr6+qiqqgJGVkoafYFuZWUlAwMD2O12iouLLWXNzc00NTUBkJeXR1pamlk2NDTEhQsXAEhLSyMvL8+ybXV1NT09PQBs2LDBMmPd1tZGQ0MDMHLhcEZGhlnm8Xg4d+4cAMnJyRQUFFjqra2tpbOzE4C1a9cSFxdnlnV2dpqL8mRlZbF48WLLtmVlZbjdbhISEsb8QWpoaDA/74WFhZYbW/b29vLhhx8C4HQ6yc7OtmxbUVHB4OAgDoeD9evXW8quXr3KtWvXgJHTnGe7j/D2BQMDA5w5c8bsI3ypjxgxX/sIl8uFYRiWfsDbRwCsWrWKpKQks0x9xE3zqY/o6+vD7XYzMDBAe3v7pN8jfKmPGBHpfYTvd0MI7HsEhEcf8UF9Ox4DliTZuVZbyeII7yO8n9NARcUgzGu80x4DOR0SMP/o+TIMw/xS7HK5/G7jLR/N4/GYZR6PZ0z56Hrtdru5DKlvvaPb5Fuv7x9o33oNwyA2duwFkG63e0b1jrevvvWO3lffY+ivXu+++nufAq13tt+b8eqdKC/jHUOXy+X39FvffbXZbJbOPpB6fTvp8eod3V7ffZ3qex7oMfS3vW+bRptsX4eGhvB4PH6X651oXwM9hv6OUaD1BiuH3j7AW/dUc6g+Ymy9kdZH2Gw2YmJiLDkPRr7VR0RWH+Gb+WDmUH3E2HrDtY/w/W7orTeQ7xHh0Ed4b9K8JiPW73GMxD5iKqJiEOYdOfub8bp+/brfGTJ/HA7HmA+wzWYzOyHfX5F8t/HXScHIdW7eMn8fltH1+v7yUFNTY5aPbpNvvf4CFBsbi2EYfttrt9tnVK/vv8erd/S++h5Df/V6j6G/zjPQemf7vRmv3onyMt4x9H2OL999Hf0LViD1jncfkYnec999Ha/emR7DyfZ1tMn2NS4uDrfbPWm903lvPB7PlD83s5HD4uJiy6/cU82h+oix9UZaH+HvV+6Z5lt9ROT1EcuXLzdny4OZQ/URY+sN1z5i9KxUoN8jwqGP8N6kuXhJgt/2RmIfMRU2Y6rDtlnU2tqK0+nk6aef9nuvMK/S0lIef/xxampqxpz64M+VK1dYvnw53/72t3nyySctZUVFReTk5PDLX/7S8rjH4zGnmL1SUlJmtECIiIiIiEi0G3Z72Ljvl/QPu3n7sT+gcElKqJs0Y1MdO0TFiGLZsmVs376dV155xTLt+Nvf/pbKykruu+++ELZORERERCR6nG/son/YzcLEWAqcyZNvMA+FxemIhw8fpre31xw9nj9/ntdeew2Au+66i8TERFpaWnjnnXcAzAvxDh8+jNPpxOl0UlJSYtbncDgoKSnh6NGj5mMHDx7k9ttv54EHHuDRRx+lubmZ3bt3U1xczBe/+MW52lURERERkajmvT/Y1tx0YmKmdhrffBEWpyPm5eWZq/CM5j3l8Pjx4+zcudPvc0pKSiw3b7bZbGMeA3j77bfZu3cvp0+fJjExkbvvvpvvfOc7Y1ZFgfA8HbG5udk8H9dfmyU6KAeiDIgyIKAcSORm4Cv//D6/KL/K7juL+EpJweQbRICpjh3CYibMu0zkRHbs2BHwqiPjPe/222/n9ttvn0rTwkpTU5O5dGskfdAkuJQDUQZEGRBQDiQyM2AYhnmT5m1ReJNmr6i4JkxEREREREKvtq2P1p4h4hwxFC9Lm3yDeSosZsIkMHl5eRiGMeUlMGV+UQ5EGRBlQEA5kMjMgPd6sFuWLyTeMXaJ+GihQVgE8b0DuUQv5UCUAVEGBJQDicwMeO8PtjWKT0UEnY4oIiIiIiJz5GRtOwDb8haFuCWhpUGYiIiIiIjMutaeQS619mKzweac6J4J0+mIEWRoaMj877i4uBC2REJJORBlQJQBAeVAIi8D3lmwNUtSSEuMDXFrQkuDsAhy4cIFcxnSTZs2hbo5EiLKgSgDogwIKAcSeRnQ9WA36XREERERERGZdSfqdD2Yl2bCIkhaWpp5V3SJXsqBKAOiDAgoBxJZGegbclF+pROArRqEaRAWSfLy8kLdBAkDyoEoA6IMCCgHElkZOH25A5fHIDstgWULF4S6OSGn0xFFRERERGRWeRfl0CzYCA3CRERERERkVp24sSjHNi3KAWgQJiIiIiIis8jl9nCqTjNhvnRNWASprq42lyEtKCgIdXMkRJQDUQZEGRBQDiRyMlBxtZveITcpCQ5WL0kJdXPCggZhEQgti5sAACAASURBVKSnp8f8oEn0Ug5EGRBlQEA5kMjJgPf+YFty07HH2ELcmvCg0xFFRERERGTW6P5gY9kMwzBC3Yhw5PF46O7utjyWkpJCTEzoxq0ej8f871C2Q0JLORBlQJQBAeVAIiMDhmHw0b86yrWuQf73wx/l91ZmhLpJs2KqYwedjhhBwvXDJXNLORBlQJQBAeVAIiMDDe39XOsaJNZuY9OKhaFuTtgI/3dOREREREQikndp+g3L0kiItYe4NeFDgzAREREREZkVJ2p1PZg/Oh0xgrS1teHxeIiJiSEjY36eTyuTUw5EGRBlQEA5kMjIgHdlRN0fzEqDsAjS0NBgLkMarh80mX3KgSgDogwIKAcS/hlo7x2iqrkHGFmeXm7S6YgiIiIiIhJ0799Ymn7V4mQWJcWFuDXhRTNhEWT58uXmlLNEL+VAlAFRBgSUAwn/DJyoGzkVcVueZsFGC/k71t3dzRNPPMEdd9yB0+nEZrOxb98+v889deoUt912G8nJySxcuJD77ruPS5cuBfQ6g4ODfOc736G4uJikpCSWLFnCnXfeyX/+538GcW9mV0ZGBk6nMyynm2XuKAeiDIgyIKAcSPhn4OSNRTm25up6sNFCPghra2vj0KFDDA4Ocu+99477vIqKCnbs2MHQ0BA//elP+eEPf8jFixf5xCc+QUtLy6Sv8+Uvf5ndu3dz77338uabb/Liiy/S0tJCSUkJ7733XjB3SUREREQkqg0Muznb0AFoZUR/Qn46Ym5uLu3t7dhsNlpbW3nppZf8Pm/v3r3Ex8fz1ltvkZqaCsCWLVsoLCyktLSUgwcPjvsag4OD/Mu//At/+qd/yoEDB8zHf//3f5/s7Gx+/OMfs3379uDumIiIiIhIlDrb0Mmw22BxSjwrFi0IdXPCTshnwmw2GzabbcLnuFwu3nrrLe6//35zAAYjA7idO3fyxhtvTLh9TEwMMTExpKWlWR5PTU0lJiaGhISE6e/AHPJ4POY/Er2UA1EGRBkQUA4kvDPgvUnztrxFk37Xj0YhnwkLRHV1Nf39/WzcuHFM2caNG3n77bcZGBgYdzAVGxvLo48+yssvv8xtt93Grl27uH79Ok899RRpaWl8+ctfnu1dCIpz586Zy5Bu2rQp1M2REFEORBkQZUBAOZDwzsDN+4NpUQ5/ImIQ1tbWBsCiRWPPJ120aBGGYdDe3k5WVta4dXzve98jLS2N+++/3/y1ICcnh1/96lesWrUqoHaUl5eTm5trmY0bHBykoqICgPT0dHJycizbVFVV0dfXBzDmw9Ha2sqVK1fMtqSn3wyp2+2mrKwMgJSUFFauXGnZtqamhq6uLgDWr1+Pw3Hzrezo6KCurg6A7OxsnE6nZduzZ89iGAYLFixg9erVlrLLly9z/frIh2bNmjWWgW1PTw/V1dUALF68eMzxPn/+vNkRrFu3zlLW1NREc3MzAAUFBSQnJ5tlAwMDVFZWAiPv54oVKyzbXrx4kf7+fmw225iBeEtLC42NjcDIzOjChQvNMpfLRXl5OTAy65mfn2/Z9tKlS3R3dwNQXFyM3W43y9rb26mvrwdg2bJlZGZmWrY9c+YMAImJiRQWFlrK6uvraW8fuRC1qKiI+Ph4s6yrq4uamhoAlixZwtKlSy3blpeX43K5iI+Pp6ioyFLW2NhIS0sLw8PDjNbX10dVVRUwcpHu8uXLLeWVlZUMDAxgt9spLi62lDU3N9PU1ARAXl6eZcZ4aGiICxcuAJCWlkZeXp5l2+rqanp6Ru7/sWHDBsvqTG1tbTQ0NAAjqzf5XjTs8Xg4d+4cAMnJyRQUFFjqra2tpbOzE4C1a9cSF3dzWdvOzk5qa2sByMrKYvHixZZty8rKcLvdJCQksGbNGktZQ0OD2Z8UFhaSmJholvX29vLhhx8C4HQ6yc7OtmxbUVHB4OAgDoeD9evXW8quXr3KtWvXAMjPz5+TPgJgeHiYM2fOqI+Iwj7C5XIxmrePAFi1ahVJSUlmmfqIm+ZTH+H9PjM8PEx7e7u+RxB9fcRogXyPgNnvIzweg5M3lqdPG2rlzJmued9HeD+ngYqIQZjXRFOZk01zPvfcc5SWlrJv3z4+8YlP0NXVxd/+7d9y++2388tf/pKPfOQjk76+y+XCMAzLY4ZhmF+K/f1RdLlcfr80w0iAvGX+ppFH15ucnGx2Tr71jm6Tb71ut9tvvYZhEBsbO6bM7XbPqN7x9tW33tH76nsM/dXr3Vd/73Gg9c72ezNevRPlZbxj6HK5/C4167uvCxYssPxhC6Te4eFhv2UTvee++zrV9zzQY+hve982jTbZvg4NDeHxeCx/DP3VO533xvvZmW69wcphcnIyQ0ND9Pb2mpmZqF71EfOzj0hKSrK8R8HIt/qIyOoj4uLi6O/vB4KbQ/URY+sN1z7C97uht95AvkfMdh9xsbmb7gEXSXF2liUx7rbzrY+YiogYhHlHvt6Rp6/r169js9ksv1yMduHCBfbu3cvzzz/Pt771LfPxO++8k3Xr1vGNb3yDY8eOTdoOh8Mx5gNss9nM4Pv+iuS7jb9OCkauVfOW+fuwjK7Xd5RfU1Njlo9uk2+9/gIUGxuLYRh+22u322dUr++/x6t39L76HkN/9XqPob/OM9B6Z/u9Ga/eifIy3jH0fY4v333Ny8uz/IIVSL1ut9tv2UTvue++jlfvTI/hZPs62mT7GhcXh9vtnrTe6bw3Ho9nyp+b2chhQUGB5VfuqeZQfcTYeiOtj/D3K/dM860+IvL6iCVLlpiz5cHMofqIsfWGax8xegYo0O8Rs91HnLixNP0tK9JIiI+bsN751EdMhc2Y6rBtFrW2tuJ0Onn66act9wpzuVykpqby4IMP8nd/93eWbT71qU9x6dIlLl68OG69P/nJT/jc5z7H8ePHKSkpsZR95jOf4Z133hmzzL3H4zGnmL1SUlLC9mZ4IiIiIiLh4C9+8gE/O93IY7et5i9uK5x8g3lgqmOHiBhROBwO7rnnHl5//XXLztXX13Ps2DHuu+++Cbf3nrf929/+1vL44OAgp06dGnPeq4iIiIiITI/3Js3btCjHuMLidMTDhw/T29trDrDOnz/Pa6+9BsBdd91FYmIizzzzDNu2bePuu+9m9+7dDAwMsHfvXjIzM/nmN79pqc/hcFBSUsLRo0cB+PjHP862bdvYt28ffX19/MEf/AGdnZ288MIL1NTU8M///M9zu8MiIiIiIvPQlY5+rnT0Y4+xcUvO+JcLRbuwOB0xLy/PXIVntJqaGnMllffff58nn3yS3/zmNzgcDnbt2kVpaemY82FtNhslJSUcP37cfKyzs5PvfOc7vP7669TV1ZGcnMy6det44oknuPPOO8e8bjiejlhbW2uejzt6dRmJHsqBKAOiDAgoBxKeGfjZ6Sv8xU9Os2l5Gj/72sdD3Zw5M9WxQ1jMhHmXiZzMli1bOHLkyKTP8zeuTEtL48CBAxw4cGCqzQsbnZ2dlhVwJDopB6IMiDIgoBxIeGbAeyri1ryxt5aSmyLimjAREREREQl/J27cpFnXg01s2jNhr7zyCv/yL/9CXV2deY8KL5vNZt6MT4Jn7dq1oW6ChAHlQJQBUQYElAMJvwx09g9TeW3klLwtuZoJm8i0BmEHDx7kL//yL1m3bh2bNm2y3MlbZo/v3b4leikHogyIMiCgHEj4ZeBUfTuGAfmZSThTND6YyLQGYYcOHeKrX/0qL7zwQrDbIyIiIiIiEejkjVMRt+bqVMTJTOuasKtXr/LHf/zHwW6LiIiIiIhEqBPm/cF0KuJkpjUTtmXLFqqrq9m1a1ew2yMT6OzsxDAMbDYbaWlpoW6OhIhyIMqAKAMCyoGEVwYGXW7OXO4AYKsW5ZjUtAZhf/3Xf83nP/95Nm/ezJYtW4LdJhlHbW2tuQzppk2bQt0cCRHlQJQBUQYElAMJrwyUXeli0OUhIymO/MykkLYlEkxrEPbFL36RtrY2tm/fztKlS8nIyLCU22w2zpw5E5QGioiIiIhIeDOvB8tLx2azhbg14W9ag7CMjAwyMzOD3RaZRFZWlnlXdIleyoEoA6IMCCgHEl4Z0PVgUzOtQdjx48eD3AwJxOLFi0PdBAkDyoEoA6IMCCgHEj4Z8HgM3q/zzoRpEBaIaa2OKCIiIiIiAnCptYf2vmESYmNYn50a6uZEhGnNhAFcv36d733vexw9epS2tjYyMzO57bbb+PrXv056ulZEERERERGJBt5TET+yIp1Yu+Z4AjGto3TlyhU2b97Mc889R2dnJzk5OXR0dLB//342b95MY2NjsNspIiIiIiJh6MSNRTm2aWn6gE1rJuypp56iv7+f3/3ud2zbts18/MSJE9xzzz089dRT/OM//mOw2ig3lJWVMTQ0RFxcHMXFxaFujoSIciDKgCgDAsqBhE8GTt6YCdP1YIGb1kzYL37xCw4cOGAZgAFs27aNZ599lsOHDwelcWLldrvxeDy43e5QN0VCSDkQZUCUAQHlQMIjA9e6Bqi/3keMDT6SszBk7Yg005oJ6+zsJC8vz29Zfn4+nZ2dM2mTjCMhIQG73U5sbGyomyIhpByIMiDKgIByIOGRAe8s2NqsVFISlMVATWsQlp+fz89//nNuv/32MWWHDx8mPz9/xg2TsdasWRPqJkgYUA5EGRBlQEA5kPDIwM3rwXQq4lRMaxD2xS9+kd27d+PxeHjwwQfJysqiqamJV155hRdeeIFvf/vbwW6niIiIiIiEmZPm/cG0KMdUTGsQ9vjjj1NdXc3f/u3f8uKLL5qPG4bBww8/zLe+9a2gNVBERERERMJPz6CL841dAGzN1UzYVExrEGaz2fjBD37AN77xDY4dO0ZbWxsZGRns2rWL1atXB7uNIiIiIiISZj6ob8djwIpFC1ialhDq5kSUad+sGUbOQw2Hc1GjRUNDA263G7vdzvLly0PdHAkR5UCUAVEGBJQDCX0GvDdp3qZZsCmb0SBM5lZbWxvDw8PExsaqs41iyoEoA6IMCCgHEvoMnKz1Xg+mQdhUBXyfMLvdznvvvTeyUUwMdrt93H8cDo3tRERERETmq2G3hw/qOwDYpkU5pizg0dLevXvNEfbevXux2Wyz1ijxr7CwEMMwdOyjnHIgyoAoAwLKgYQ2A+cbu+gfdrMwMZYCZ/Kcv36ksxmGYYS6Ed3d3ezfv5/Tp0/zwQcf0NraytNPP82+ffvGPPfUqVM88cQT/Pa3v8XhcLBr1y5KS0tZuXJlQK/V29vLwYMH+clPfkJdXR3Jycls3LiRQ4cOUVhYaD7P4/HQ3d1t2TYlJYWYmIAnD0VERERE5qWX/uMSB35+gdvWLualB7eFujkhN9Wxw7RGFM8++yyNjY1+y5qamnj22WenVF9bWxuHDh1icHCQe++9d9znVVRUsGPHDoaGhvjpT3/KD3/4Qy5evMgnPvEJWlpaJn2dnp4eduzYwcsvv8x/+2//jV/+8pf86Ec/4vd+7/fo6+ubUptFRERERKLVyRuLcuh6sOmZ1kyY3W7nN7/5Ddu3bx9T9v7777N9+3bcbnfA9XmbYLPZaG1txel0+p0J+5M/+ROOHTtGdXU1qampANTV1VFYWMhjjz3GwYMHJ3ydr3/967z00kucPXt20pkzzYSJiIiIiIxlGAbbnjtCa88Q/+eRj7FFqyPOzUzYROO2np4eYmNjp1SfzWab9FxWl8vFW2+9xf33328OwAByc3PZuXMnb7zxxoTb9/X18dJLL/HAAw8EfOpiuOnt7aWnp4fe3t5QN0VCSDkQZUCUAQHlQEKXgdq2Plp7hohzxFC8LG1OX3u+CHhhjrNnz3L69Gnz///f//t/VFRUWJ7T39/Pj3/8YwoKCoLXwhuqq6vp7+9n48aNY8o2btzI22+/zcDAAAkJ/m8U9/7779Pb20thYSGPPPIIP/nJT+jt7WXjxo0888wzfPrTnw56m4Ptww8/NJch3bRpU6ibIyGiHIgyIMqAgHIgocvAiRtL09+yfCHxDvucve58EvAg7I033uCZZ54BRmauxrvua8GCBfzoRz8KTut8tLW1AbBo0djpzkWLFmEYBu3t7WRlZfnd/sqVKwAcPHiQDRs28E//9E/ExMTw3e9+l3vuuYfDhw/zyU9+csI2lJeXk5uba5mJGxwcNAej6enp5OTkWLapqqoyrzcb/eFobW0125WTk0N6+s3lPd1uN2VlZcDIVObo2buamhq6uroAWL9+veW2AB0dHdTV1QGQnZ2N0+m0bHv27FkMw2DBggWsXr3aUnb58mWuXx/5YK1Zs8YyqO3p6aG6uhqAxYsXjznW58+fNzuCdevWWcqamppobm4GoKCggOTkm6voDAwMUFlZCYy8lytWrLBse/HiRfr7+7HZbGMG4S0tLeb1ibm5uSxcuNAsc7lclJeXA5Camkp+fr5l20uXLpnTxsXFxdjtNzuR9vZ26uvrAVi2bBmZmZmWbc+cOQNAYmKiZUEXgPr6etrbR86TLioqIj4+3izr6uqipqYGgCVLlrB06VLLtuXl5bhcLuLj4ykqKrKUNTY20tLSwvDwMKP19fVRVVUFQEZGxph7hVRWVjIwMIDdbqe4uNhS1tzcTFNTEwB5eXmkpd38RWtoaIgLFy4AkJaWRl5enmXb6upqenp6ANiwYYNlyr2trY2GhgYAli9fTkZGhlnm8Xg4d+4cAMnJyWN+uKmtraWzsxOAtWvXEhcXZ5Z1dnZSW1sLQFZWFosXL7ZsW1ZWhtvtJiEhYczN5BsaGsy+pLCwkMTERLOst7eXDz/8EACn00l2drZl24qKCgYHB3E4HKxfv95SdvXqVa5duwZAfn7+nPQRAMPDw5w5c0Z9RBT2ES6Xi9G8fQTAqlWrSEpKMsvUR9w0n/oIj8cDjPQF7e3t+h5B9PURowXyPQJm3kfcvD9YuvoIn2M4FQEPwh5++GHuvvtuDMNg+/bt/OhHPxrTUcfHx1NQUMCCBQum1IipmOi0xYnKvB1VXFwchw8fJiUlBYCdO3dSWFjI/v37Jx2EuVyuMadiGoZhfin290fR5XL5/dLsbZO3zNs+X6PrdTqd5l3Re3t7zfLRbfKt19+1ecPDwxiG4fe0UbfbPaN6x9tX33pH76vvMfRXr/cY+nt/A613tt+b8eqdKC/jHUOXy+X3/GHffU1PT7d8zgKpd3h42G/ZRO+5775O9T0P9Bj62963TaNNtq9DQ0N4PB7LH0N/9U7nvfF+dqZbb7By6HQ6GR4eNgflU82h+oix9UZaH2G328nMzLTkPBj5Vh8RWX1EcnKy+UUzmDlUHzG23nDtI3y/G3rrDeR7xEz7CO+iHNvyFqmP8Kl3KgIehGVlZZm/WBw7dozNmzebA5m54B39ekefvq5fv47NZrP8ejHe9rfeequl3YmJiZSUlPCv//qvk7bB4XCM+QDbbDazE/J3k2qHwzHuNXIxMTFmmb8Py+h6fX91q6mpMctHt8m3Xn8Bio2NxTAMv+212+0zqtf33+PVO3pffY+hv3q9x9Bf5xlovbP93oxX70R5Ge8Y+j7Hl+++Ll261PILViD1+nbS49Xr7xhPVu9Mj+Fk+zraZPsaFxeH2+2etN7pvDcej2fKn5vZyGF2djZut5uOjo6A6lUfMf/6iPj4+DG/9s803+ojIq+PSE9PN399D2YO1UeMrTdc+4jRs+WBfo+YSR/R2jPIpdaRa9A256Qz2NOuPsLP/08mLO4T5mu81RFdLhepqak8+OCD/N3f/Z1lm0996lNcunSJixcvjltvU1MT2dnZ/Jf/8l/42c9+Zin73Oc+x5tvvmlOh4JWRxQRERERGe0XZVf5yivvs2ZJCv/22B+EujlhY6pjh4Bnwh566CH27NlDfn4+Dz300ITPtdlsvPzyy4FWHRCHw8E999zD66+/zvPPP2/OZtXX13Ps2DEee+yxCbfPysriYx/7GL/+9a/p6uoyz8fu6+vjnXfe4aMf/WhQ2ysiIiIiMt/4Xg8m0xfwIOzYsWP8xV/8BQC/+tWvpn1t1ngOHz5Mb2+vOYI8f/48r732GgB33XUXiYmJPPPMM2zbto27776b3bt3MzAwwN69e8nMzOSb3/ymdcccDkpKSjh69Kj5WGlpKTt37uSTn/wkTz75JDabje9+97u0trayf//+KbdZRERERCSanKi7eT2YTF/YnI6Yl5dnrsQzWk1Njbmayvvvv8+TTz7Jb37zGxwOB7t27aK0tHTMqig2m42SkhKOHz9uefzdd9/lf/yP/8GJEycA+OhHP8r+/fu59dZbLc8Lx9MRKyoqzFWDRq94I9FDORBlQJQBAeVA5j4DfUMuNu77JS6PwbtP7mR5euLkG0WJWTsdcbZ5l4qczJYtWzhy5MikzxtvbPnxj398zMAsUgwODjI8POx3hRiJHsqBKAOiDAgoBzL3GTh9uQOXxyArLYFlC2dvNfRoMK1pncbGRvN+DDCyaMbzzz/Pf/2v/5Uf/vCHQWucWDkcDvMfiV7KgSgDogwIKAcy9xnwLk2/NW/RtC4/kpumdTriPffcQ05ODi+++CIA+/bt49lnn2XhwoV0dnbyP//n/+Tzn/980Bs7l8LxdEQRERERkVD5s5d/x39UtfLsH63nzz+WF+rmhJWpjh2mNaI4deoUO3fuNP//H/7hH3jssce4fv06Dz/8sDk4ExERERGRyOdyezh1Y1GOrblalGOmpjUIa2trM28Od+HCBZqamvjCF74AwP333285VVFERERERCJbxdVueofcpMQ7WLM0JdTNiXjTGoSlpaXR3NwMwL//+7+zaNEiNmzYAIysSjg0NBS8FoqIiIiISEh57w+2OTcde4yuB5upaV3Ft337dg4ePEhsbCzf//73ueOOO8yyS5cukZ2dHbQGyk1Xr17F7XZjt9vNmUiJPsqBKAOiDAgoBzK3Gbh5fzDdpDkYpjUI279/P7fffjt/9Ed/RHp6Ov/9v/93s+xf//Vf2b59e9AaKDddu3bNvBeEOtvopRyIMiDKgIByIHOXAcMwzJmwrbpJc1BMaxB2yy23UFdXR0VFBatWrSI1NdUse/TRRyksLAxaA0VEREREJHQa2vu51jVIrN3GpuULQ92ceWHaNxVITExk8+bNYx7/9Kc/PaMGyfjy8/MxDEP3ZYhyyoEoA6IMCCgHMncZOHFjFqx4WRoL4uyz+lrRYtqDsOvXr/O9732Po0eP0tbWRmZmJrfddhtf//rXSU/XuaKzwXfGUaKXciDKgCgDAsqBzF0GTtR6rwfTqYjBMq3VEa9cucLmzZt57rnn6OzsJCcnh46ODvbv38/mzZtpbGwMdjtFRERERCQEzOvBcjXREizTGoQ99dRT9Pf387vf/Y7y8nLefvttysvL+d3vfkd/fz9PPfVUsNspIiIiIiJzrL13iKrmHgC2aBAWNNMahP3iF7/gwIEDbNu2zfL4tm3bePbZZzl8+HBQGidWg4ODDAwMMDg4GOqmSAgpB6IMiDIgoBzI3GTg/RtL0xc4k8hIjp+114k207omrLOzk7y8PL9l+fn5dHZ2zqRNMo6KigpzGdJNmzaFujkSIsqBKAOiDAgoBzI3GThRN3Iqoq4HC65pzYTl5+fz85//3G/Z4cOHyc/Pn1GjREREREQk9E7eWJRD9wcLrmnNhH3xi19k9+7deDweHnzwQbKysmhqauKVV17hhRde4Nvf/naw2ylAeno6LpcLh2Pai1rKPKAciDIgyoCAciCzn4GBYTdnGzoA2Jan68GCyWYYhjHVjQzD4Ctf+Qr/8A//YLkvgWEYPPzww/z93/99UBsZCh6Ph+7ubstjKSkpxMRMa/JQRERERCSivFdznT/5wW9wpsTz3lN/qHvSTWCqY4dpDZttNhs/+MEP+MY3vsGxY8doa2sjIyODXbt2sXr16ulUKSIiIiIiYcR7k+ZteekagAXZtOcu3W43p06d4tSpU+YgLC0tjZUrV2paXEREREQkwt28P5iuBwu2aY2WWltb+dSnPsWpU6dwOBxkZGTQ1tbGSy+9RGlpKf/2b/9GZmZmsNsqIiIiIiJzwOMxOHljeXqtjBh807rA6bHHHqOyspIf//jH9Pf309TURH9/P6+88gpVVVU89thjwW6nAFVVVVy4cIGqqqpQN0VCSDkQZUCUAQHlQGY3Axebu+kecJEYZ2dtVkrQ649205oJe/PNNzlw4ACf+9znzMfsdjt/+qd/SnNzM/v27QtW+8RHX1+feS8IiV7KgSgDogwIKAcyuxk4cWNp+s056TjsWpgu2KZ1RA3DYP369X7LiouLmcaCiyIiIiIiEibM68G0NP2smNZM2G233caRI0e47bbbxpS9/fbb7NixY6btEj9m607oElmUA1EGRBkQUA5kdjPgvUmzrgebHdOaCduzZw8//elPefzxx/nggw9oamrigw8+4Fvf+havvvoqzzzzDNevXzf/mUh3dzdPPPEEd9xxB06nE5vNNu7pjKdOneK2224jOTmZhQsXct9993Hp0qUpt7+/v5/Vq1djs9koLS2d8vYiIiIiIvPVlY5+rnT0Y4+xccuKhaFuzrw0rZmwzZs3A/Dd736Xv/7rvzYf956GuGXLFsvz3W73uHW1tbVx6NAhNm3axL333stLL73k93kVFRXs2LGDW265hZ/+9KcMDAywd+9ePvGJT3D69GmcTmfA7d+zZw+9vb0BP19EREREJFp4T0Vcn51KUrxuPTUbpnVU9+7dG7QbtuXm5tLe3o7NZqO1tXXcQdjevXuJj4/nrbfeIjU1FRgZ7BUWFlJaWsrBgwcDer333nuPF154gR//+Mc88MADQdkHEREREZH5wnsqou4PNnumNQgL5uqHgQzmXC4Xb731Fn/+539uDsBgZAC3c+dO3njjjYAGYUNDQzz00EN89atfZevWrTNqdyi0trbi8XiIiYnRfdiimHIgyoAoAwLKgcxeBk7cjsozCAAAIABJREFUmAnbpkU5Zk1EzC9WV1fT39/Pxo0bx5Rt3LiRt99+m4GBARISEias59lnn6W3t5f9+/fT0tIy5XaUl5eTm5trGQgODg5SUVEBQHp6Ojk5OZZtqqqq6OvrA8ZePNna2sqVK1cAyMnJIT39ZtDdbjdlZWUApKSksHLlSq5cuWIuQ9rd3U1XVxcA69evx+G4+VZ2dHRQV1cHQHZ29phTNc+ePYthGCxYsIDVq1dbyi5fvmxex7dmzRrLMe3p6aG6uhqAxYsXk5WVZdn2/PnzZvvWrVtnKWtqaqK5uRmAgoICkpOTzbKBgQEqKysBWLRoEStWrLBse/HiRfr7+7HZbGMy0NLSQmNjIzAyKF+48OZ5yy6Xi/LycgBSU1PJz8+3bHvp0iW6u7uBkVU97Xa7Wdbe3k59fT0Ay5YtG9OxnTlzBoDExEQKCwstZfX19bS3j/yCVFRURHx8vFnW1dVFTU0NAEuWLGHp0qWWbcvLy3G5XMTHx1NUVGQpa2xspKWlheHhYQBiY2PNdvX19Zn3CMnIyGD58uWWbSsrKxkYGMBut1NcXGwpa25upqmpCYC8vDzS0tLMsqGhIS5cuABAWloaeXl5lm2rq6vp6ekBYMOGDcTE3LzMtK2tjYaGBgCWL19ORkaGWebxeDh37hwAycnJFBQUWOqtra2ls7MTgLVr1xIXF2eWdXZ2UltbC0BWVhaLFy+2bFtWVobb7SYhIYE1a9ZYyhoaGmhrawOgsLCQxMREs6y3t5cPP/wQAKfTSXZ2tmXbiooKBgcHcTgcY1aHvXr1KteuXQMgPz9/1vsIb1/g/W9vH+GrpqZGfQTzt49wuVwYhmHpB7x9BMCqVatISkoyt1MfcdN86iMuX75sXvJht9sn/R7hS33EiEjvI65du2Yes8zMzIC+R8DEfURc8kIqr43s15YbgzD1ESMm6iO8n9NARcQgzLuzixaNnRJdtGgRhmHQ3t4+5sPs6/Tp0zz//PO8+eabJCUlTWsQ5v2j58swDPPLkMvl8ruNt3w0j8djlnk8njHlgdY7uk2+9fq7Hm94eNj84z2a2+2eUb3j7atvvaP31fcY+qvXu6/+Zk0DrTdc3pvJ9nV4eBiXy2XphLx893W0QOodHh72WzbRe+7ddrJ6/Qn0GPrbfib7OjQ0hMfjsfwx9FfvdN4b72dnuvUGO4fedqmPiL4+wp9g5Ft9RGT1Eb516XuE+ghvvYF8j5io3oor3RgG5GUksjglwaxXfcTkx3AqImIQ5jXRqYsTlblcLh566CE++9nP8slPfnLar+9wOMa8js1mMzsh31+RfLcZ7wZ6MTExZpm/D8voenNycswp546ODrN8dJt86/UXoNjYWAzD8Nteu90+o3p9/z1evaP31fcY+qvXewz9vceB1jvb78149U6Ul/GOoe9zfHn31ePxsGTJEhYsWDClet1ut9+yid5z330dr96ZHsPJ8jLaZPsaFxeH2+2etN7pvDcej2fKn5vZyGFOTg4ul4uGhgZiYmKmnEP1EWPrjbQ+wm63k5WVZXntmeZbfUTk9REZGRnmrFMwc6g+Ymy94dpH+H439NY72feIyeotu9YPwFafpenVR4yt198xnAqbEUZ3Vm5tbcXpdPL0009brjurrKykqKiIF198kUcffdSyzeOPP853v/td+vr6xj0dsbS0lAMHDnDy5ElzOri+vp5Nmzaxf/9+vva1r5GSkmJ5IzwejznF7JWSkuI3BCIiIiIi88Gf/OA3vFdznYP3b+Cz23Im30CAqY8dImJEUVBQwIIFC8xzP32dO3eOVatWTXg9WFlZGZ2dnRQWFpKenk56erp5XvWePXtIT0/3W7eIiIiISLQYdLk5c7kDsM6ESfBFxCDM4XBwzz338Prrr1tGmPX19Rw7doz77rtvwu13797NsWPHLP/8r//1vwD4yle+wrFjx1i1atWs7oOIiIiISDgru9LFoMvDoqQ4VmYmTb6BTFtYXBN2+PBhent7zQHW+fPnee211wC46667SExM5JlnnmHbtm3cfffd7N6927xZc2ZmJt/85jct9TkcDkpKSjh69CgwsrLM6BVivKuiFBQUsGPHjtndwSDxvXjQ3zmsEh2UA1EGRBkQUA4k+Bnw3qR5a2560O4JLP6FxSDskUceMZdCBXj11Vd59dVXgZElVPPy8igqKuL48eM8+eSTfOYzn8HhcLBr1y5KS0vHLJ3qdrv9rnYS6crKysxlSEcvUyvRQzkQZUCUAQHlQIKfgRM3btK8TacizrqwGIR5Z6Ums2XLFo4cOTLp8wJZayQvL2/KS0mKiIiIiMxHhmHwft2NmTDdpHnWhcUgTAKTkpKCy+Xyu5ypRA/lQJQBUQYElAMJbgaqW3pp7xsmITaG9dlpk28gM6JPbQQZfbd7iU7KgSgDogwIKAcS3Ax4rwe7ZcVC4hwRsXZfRNMRFhERERGJcroebG5pECYiIiIiEuVOmteDaRA2FzQIExERERGJYs1dA9S19RFjg805C0PdnKiga8IiSE1NjXnxZX5+fqibIyGiHIgyIMqAgHIgwcvAybqRUxGLlqaSkhAbrObJBDQIiyBdXV3mvSAkeikHogyIMiCgHEjwMnDixqIc27Q0/ZzR6YgiIiIiIlHs5I1FOXQ92NyxGbpjsV8ej4fu7m7LYykpKcTEhG7c6nK5MAwDm82me4JEMeVAlAFRBgSUAwlOBnoGXWzc9294DPjNX+4iK21BkFsZHaY6dtAnNoKogxVQDkQZcHsM6tp6yV64gIRYe6ibExLRngEZoRxIMDJwur4DjwHL0xdoADaH9OkVEZGw19I9yDsXWzhe2cx/VLXS2T9MVloCT3xqDX+0aRkxMbZQN1FEJCLdvB5MpyLOJQ3CREQk7Ljc/z975x0fZZX9//eU9F4mIaT3EHpVkBJ0FVRcFcWyKiB23fLT71rXtmtZC67rWrCLYi+4uigqKAkllBAgJIH03sik10mmPL8/hgyZFJJAkplJ7vv18oWv3Ll37jPPmTP3POfezzFwpLSBxGw1iTnVZJQ3mbXLZFDZqOHeL9LYmFzM4yvimR0qDpQLBALBUDlVH0z40NFEBGE2RENDAwaDAblcjqenqOEwXhF2IBirNlDdpCExR01StppduWqaNDqz9imB7iTE+JEQq2JSgDsbk4t4Y0ceaaUNXLUhmcumT+TB5bEEeTlb6ApGj7FqA4KhIexAcLY2oNUbOFzSAIhM2GgjgjAbori42CRDKpzt+EXYgWCs2EDXj39idjWJ2WqOVZpnuzyc7Fgco2JJjIrFMb74uTmatd+zNIpVs4NY/0s2X6WW8b+0Cn7JrOK2RRHclRCJi8PY/YkbKzYgODuEHQjO1gaOVzbR1qnHw8mOKJXrCMxQ0B9j9xdKIBAIBFZHVaOGpBxj0LU7r4bmHtmuaUEeJMSoWBLrx4xgTxQDnPXyc3fkhauns3p+GE9tOcb+wjpe25HHlwdLuX9ZLFfNChLnxQQCgaAfUrqk6UO9hK8cZUQQZkNMnDgRvV6PQjE+1cAERoQdCGzJBrR6AweL6knMqSYpW01Wlbl8r5ezMduVEKtiUbQKX1eHM3qfKYEefH77ufycWcWzP2ZRUtfG/V8f5aO9xTy2Ip554WNrm40t2YBg5BB2IDhbGzhY1HUebGz5SFtA1AnrB2usEyYQCAS2QEVDu0nJcE9eLS0dp7JdMhlMD/JkycnAa1rQwNmuodKh07NxTxGv/pZneu9Lpk7g4YsnEew99s+LCQQCwWCQJIm5z/xKTUsHX985XwRiZ8lQYwcRhPWDCMIEAoFgcHTqDBwsqiPxZOCVc6LFrN3Hxd4s2+XtYj8q86pp6eBf23L4/EAJBgnsFXLWLQznnqWRuDnajcocBAKBwFopqmklYX0i9ko56U9ehINSZFTPBlGsWSAQCAQjTnlDu0lQIzmvhtZOvalNLoMZwZ4sOalkODXQwyJnDXxdHXj2yqmsnh/KU1uOsSevljeT8vk6tZS/XhTLqjnBw56FEwgEAluhqz7Y9CAPEYBZABGECQQCgWBAOnR6UgrrjYFXjpq8avNsl69rV7bLj0VRvniNUrZrMMRNcOfjW87h1+PVPPPjcQprWnloczof7i3msRWTWBDpa+kpCgQCwahzsEuUQ2xDtAgiCLMhjh49apIhnTZtmqWnI7AQwg4Eo2UDpXVtJGZXk5SjJjm/lrYe2a5ZIV4kxKpYEuPH5InuVq2sJZPJ+F28P4tjVGzaV8wr23M4XtnEH97Zz0Xx/jxyySTCfF0sPc1BI/yAAIQdCM7OBlJOFmmeK4o0WwQRhNkQkiSZ/hOMX4QdCEbKBjRaPQcK60jMVpOYU02ButWsXeXmYBLUWBSlwsPZ9s5V2Svl3LIwnCtnBvLv7Tl8sr+EX46dYEd2NWsXhPHH86PxcLL+6xJ+QADCDgRnbgO1LR0mHz87RGTCLIEIwmwIJycn7OzsUCrFbRvPCDsQDKcNFNe2GoOu7Gr2FtSi0RpMbQq5jNkhXiyJNQZe8QHuyGTWm+0aCt4u9vzj8incdG4oT/9wnKQcNe/sKuSbQ+Xce2EM188NRqmwXiEm4QcEIOxAcOY2cLDYuBUx1t/NJh+ojQWEOmI/CHVEgUAwFtFo9ewrqCUxW01SjprCGvNsl7+7AwkxfiyJVXFelK9NZIWGgx3Z1Tzzw3HTWbcYf1cevTSexTEqC89MIBAIhp9nfjjGO7sKueGcEJ65cqqlpzMmsDl1xObmZp566imOHDnC4cOHqamp4YknnuDJJ5/s9dpDhw7xwAMPsG/fPpRKJeeffz7r168nIiLitO/R1NTEq6++yrZt28jKyqKlpYXw8HBuvPFG/vKXv+Do6DhCVycQCASWp7Cm1aRkuK+glg7dqWyXUi5jdqgXCbFGJcO4CW5jJts1FJbG+rEwypdP95fw8vYcck60sPr9A5wf58cjl0wiys/V0lMUCASCYSPlpCjHXCHKYTEsHoTV1tby9ttvM336dK644grefffdPl+XlZVFQkICM2bM4Msvv0Sj0fD444+zaNEijhw5gkrV/9PKkpIS/v3vf3PTTTdx33334erqyq5du3jyySfZtm0b27ZtG5eLDoFAMDZp79Szt6CGpGw1iTlqimvbzNoDPBxNghrnRfmImlknsVPIWbMgjCtmBPLKr7l8tLeI37Kq2Zmj5sZzQ/l/v4vG09l6VB8FAoHgTGjv1JNR3gjAHCHKYTEsHoSFhoZSX1+PTCajpqam3yDs8ccfx8HBgS1btuDu7g7A7NmziY6OZv369Tz//PP9vkd4eDhFRUW4uJxSvjr//PNxcXHh/vvvZ8+ePSxcuHB4L0wgEAhGCUmSKKg5dbZrf2Ednd2yXXYKGXNCvUmINUrIx/i7igdPp8HD2Y7HL4vnhnND+OePx9l+vJqNyUV8e7ice38XzQ3nhmJnxefFBAKB4HQcKW1AZ5AI8HAk0NPJ0tMZt1g8CBvMQkCn07FlyxZWr15tCsDAGMAtXbqUb7/99rRBWPfgqzvz5s0DoLS0dIiztgylpaXo9XoUCgXBwcGWno7AQgg7EJSWltKi0ZJW2U5GnYGkHDWlde1mrwn0dDIKasSoWBDli6uDxd29zRGpcuXdNXPZlavm6S3HyT7RzJP/O8amfcU8emk8CbEqiwWzwg8IQNiB4Mxs4ODJIs1zwrzFAzkLYhO/yvn5+bS3t/dZ/2DatGls27YNjUYz5LNdv/32GwCTJ08e1OszMzMJDQ01CwQ7OjrIysoCwMvLi5CQELM+ubm5tLUZtwJNnz7drK2mpoby8nIAQkJC8PI6lRLW6/VkZGQAxkN9ERER1NXVmWpB6HQ6mpqaTPPvrorT0NBAcXExABMnTuy1VfPo0aNIkoSTkxMxMTFmbaWlpdTVGb+csbGxZp9pS0sL+fn5APj5+REQEGDW99ixY6b5xcfHm7VVVlZSXV0NQGRkJK6up85XaDQasrOzAfD29u7lRLKys8msaOJQpYbCVjtmh3px34UxyGQy1Go1FRUVgDEo9/T0NPXT6XRkZmYC4O7uTnh4uNm4BQUFpgOUU6ZMQaE4VS2+vr6ekpISAAIDA/H1NS/mmpaWBoCzszPR0dFmbSUlJdTXG/dax8XF4eDgYGpramqisLAQAH9/fyZMmGDWNzMzE51Oh4ODA3FxcWZtFRUVqNVqtFotAHZ2dqbPqq2tjdzcXAB8fHwICgoy65udnY1Go0GhUDBlyhSzturqaiorKwEICwvDw8PD1NbZ2cnx48cB8PDwICwszKxvfn4+LS1GIYOpU6eaHT6tra2lrKwMgKCgIHx8fExtBoOB9PR0AFxdXYmMjDQbt6ioiMZG41aJSZMmYW9/agtYY2MjRUVFAAQEBODn52fWNyMjA71ej6OjI7GxsWZtZWVl1NbWAhAdHY2zs7OprbW1lby8PABUKhUTJ04065uVlUVHRwdKpbKXz6iqquLEiROAMfM+Ej4iODiYOp0didlq/newgEx1B92SXdgr5MwL9zZJyCta1Ub71p3AUWFuv2PNR+Tk5NDe3o5MJuv1OzEcPsId+P6e+Xx9uIKXfskhX93KzRtTmDnBgXWzPJkfHzbqPkKn0yFJkpkf6PIRAFFRUWYPIIWPOMVY8RGldW3c+202Kic5V09yxdXVdcB1RHcKCwvHzTpipH0EWG4d0X1tGBwcPKh1xG/pRj/RvT6Y8BGnOFMf0fU9HSw2EYR1Xay3d+/Dg97e3kiSRH19fa8v8+k4evQoL7zwAldeeeWgi9t1/eh1R5Ik06JYp9P12aervScGg8HUZjAYerUPdtyec+o+rl6v79VXq9Wafrx7otfrz2rc/q61+7g9r7X7Z9g1bn1rJztz1SRlq/nteCUNmlN9kvNrcbRTcM/SqEGPay33pq9r7TmuTqfrU0mn+7X2ZDDjarXaPttOd8+7+g40bl8M9jPsq//ZXGtnZycGg8Hsx7Cvcc/k3nR9d8503KHaYbNGy57iZg5XdZLxQzWVTZ1m7X7OcmZOcGBBhCdXL5qGS7dsV25u1Zj2Ed3p+gz7eqI7XD5CqZBzwzmhXDZ9Iq//lsd7uws5XNXBX7aeYGW5xCO/d8fb5dSP/Ej7iL4YDvsWPsI2fMThknpu++ggNS1Gn5BUrOG2ZifuvtAdB+Wp6xrP64jujIaP6Im1riM0nZ1k1RjtZk7oqXW18BGnOBsfMRRsIgjr4nQp06GkU4uKilixYgXBwcH9nkHrC6VS2et9ZDKZyQn1VaNBqVT26aQA5HK5qa2vL0vPcWNjY5EkCZlMRmVlpam955y6j9uXAdnZ2SFJUp/zVSgUZzVu93/7G7fntcpkMhRKJXl1Wn4sqeHwj+WklTZg6GbLjkoZMyY4Eh3kx6Z9xbz4czYTPR1ZGORw2nFH6970N+7p7KW/z7D7a7rT9RlKkkRISIjZ05fBjNu1XaG/cfuab/dr7W/cs/0MB7KXngx0rfb29uj1+gHHPZN7YzAYhvy9GYodSpJEzokWErOrScpRc6CwDl23L4K9Us454d4sjPBifrgn+vpy5HI5bm5uZgFYz3HHgo843bhd19qX/Q523MH6CHdHOx6+ZBKXxHnwzx+Ps69Mw9dp1fycvYO/XBDN6vlh2Cvlgx73bHxEeHi4Wf+ztW/hI6zfRwD8cLSS+748QofOQJSvEwa9joJ6La8klfBteg2PXDKJZZP9TXMazLjCR9juOqL72rBr3NOtIypaoV0n4eqgIHaCW7/j9jVf4SMG/i4PBauqE1ZTU4NKpeolUZ+dnU1cXByvv/46d999t1mf+++/n5deeom2trZBbUcsLi4mISEBmUzGzp07e6VbuxB1wkaeutZOduYYhQR25tZQ12r+lD/W382o4BarYk6oN/ZK42f/7I/HeXtnAXYKGR/ePI8FUb59DS8Q2ATNGi178mpJyqkmKVtNRaPGrD3E2/mkoIaKcyN8cLa3qWdnY57k/Bqe2nKc45XGbV1hPs48cskkLoz3F2ctBMOKJEm8kZjPiz8bt92dH+fHf66fibOdgm8OlfHCz9momzsAOCfcm8dWxDMl0ON0QwrGIR8mF/HE95ksiVHx4bp5lp7OmMLm6oQNhsjISJycnEx7P7uTnp5OVFTUkAIwSZJITEzsNwATjAx6g0RaWYOpSOzRsga6PwJwdVCyMMqXhFgVi2NUTOxHseeh5XFUNLSz5Wgld2xK5au75hM3wb3P1woE1oYkSWRVNZuUDFOL682yXQ5KOedG+JiUDMN9+xYWElgHCyJ92fKnhXydWsqLP+dQVNvG7ZtSWRDpw2Mr4pkUIHyT4Ozp1Bn427fpfJVqPB+zdkEYj62IRyE3Bvqr5gRzydQANiTm886uAvYX1nHZa7u5ZnYw/7csBj83UQ9VYCTlpCjHXCFNb3FsIhMGcO2115KYmEheXh5ubsb0aUlJCdHR0dx7770899xzpx27pKSEJUuWoNfrSUxMHLDAs8iEDQ81LR0ns11qduWqqW8z3587KcDdJCQwO9Rr0LLPGq2e1e8f4EBhHQEejmy+ewEBHkJmVWCdNGm07M411u1KylFT1WSe7Qr3dTF9D86N8MHRrvf2CIH106zR8kZiPu/tLqRTZ0Aug2vnBnPfhbGo3BwGHkAg6IPGNi13fpzK3oJa5DJ44rLJrFkQ1u/ry+rbeP6nbP6XZhSbcLFXcPfSKG5ZGC58yzhHkiTO/eevnGjq4PPbz+XcCJ+BOwkGzVBjB6sIwrZu3UprayvNzc2sW7eOVatWcc011wBwySWX4OzsTFZWFnPnzmXWrFk89NBDpmLNdXV1vYo1K5VKlixZwq+//goYVVvmz59PeXk57733Xi8FlaCgoF5ZMWsMwlpaWjAYDMjlcjNVIGtCb5A4Ulp/8im/mvSTxQC7cHNUsijal4QYP5bEqvB3P/Oncw1tnVy1IZl8dStxE9z46s7546LorC3YwXhHkiSOVTYZs77ZalJL6tF3y3Y52smZH+FDQqwfCbEqQn2Glu0SNmDdlNa18dzWLH5IN6qFuToo+eP5Udx8XpiZaMLZIGxgfFBca1TiLFC34mKv4LU/zGJp3Cklt9PZQWpxHf/Ycpy00gYAgrycePjiSVwydYLYKjuGGIovKK1rY9ELO7BTyDj6xDKc7EVQPpzYZBAWFhZmkkLtSWFhoUnOMjU1lQcffJC9e/eiVCo5//zzWb9+fa+gSiaTsWTJEhITEwFITExk6dKl/b5/X5k3awzC0tLSTDKkPaWsLUl1s8b0hH9Xbg2N7ebZrskT3U1bq2YGe6IcxiKnpXVtrNyQjLq5g4VRvry/dq7p7NhYxVrtYLzT2KZlV57atN2262xGFxEqFxJijEHXvHDvs3oiLWzANjhQWMdTW46ZHkYFezvxyMWTWD7l7BfBwgbGPilFddz+0UHq27RM9HDkvbVze21vHcgODAaJ79LKeX5rtikDPzfMi8dWxDMtyLPX6wW2x1B8wbeHy7j3izRmhnjy7d3njdIMxw82eSasS6t/IGbPns327dsHfF3PuLLrHJhgeNDpDRwubSAxu5rEbDWZFU1m7e6OShbFGIvELolR4XcW2a6BCPZ25oO1c7nmrb3szqvhoc1HeWnVdPGUTzDiGAwSmRVNJiXDQyX1ZoqeTnYKFkSeOtsV7O3c/2CCMcm8cG++u+c8Nh8u54Wfsiita+euTw4xL9ybx4VoguA0fHeknPu/Okqn3sDUQA/eWzPnjH5L5XIZV84MYtnkCby9s4A3k/JJKarn96/tYeWsQB5YFscED3FebLyQUmSsPTY3rHfJJ8HoYxWZMGvEGjNhlZWVJnnQodREGw5ONBmzXYk51ezKraFZY17XYmqgh0nBbXrQ8Ga7BsOO7Gpu/fAgeoPEn8+P4r6LYgfuZKNY0g7GOw1tnezMrTEqeubUUNNinu2K8nMlIcYYdM0N9xq2rWc9ETZge7R26HgrKZ+3dhbQoTMgk8HVs4K4f1nsGS2uhQ2MTSRJ4pVfc/n3dmPR3GWT/Xn52hn9qqIO1Q4qG9t58adsNh82FoF3slNwV0Ikty2KEFvTbJSh2MBFLyeRc6KFt2+azUWTJ5z2tYKhY5PbEa0RawzCRhOt3kBqcT1JJ0U1uuSXu/B0tmNxtDHoWhStsopD558fKOGhzUYFzedWTuW6eSEWnpHA1jEYJNLLG41nHHOqe9Wvc7FXsOCkoueSGBVBXiLbJTg95Q3tvPBTFt8dMYomONsruDshklsXRQjRhHFOh07Pg18f5b8nbeOOxRE8uDwOuXz4d3YcKW3gH//L5FCJ8bxYgIcjD10cx++nTxQ7ScYoDW2dzPjHNgBSH/0dPq6WX7eNNUQQNkyMxyCssrHdmO3KVrMnr4bmjlPZLpkMpgV6sOSkkMD0IE+TNK418dIv2bz6Wx4KuYx318xhaazfwJ0Egm501a9LylGzM0dNbY/6dTH+rkZBjRgVc8K8x/wZRMHIkFpcz1NbjnHkpGhCoKcTD14cx2XTAsQieBxS19rJHZsOklJUj0Iu4+krpnD9CD9IlCSJLUcreW5rFuUN7QDMDPHksRXxzAoR8uVjjV+Pn+CWDw8SqXLh1/9LsPR0xiQiCBsmxkMQ1qkzcLC4zhR4ZZ8wv15vF3sWR/uSEOvHomhfm3hqIkkS//dVGpsPleNsr+DLO+aLcxeC06I3SBw9Wb8usZ/6dedFGZUMl5ymfp1AMFQMBon/Ha3gua1ZVJ4s0j071CiaMCNYiCaMF/LVLazbmEJxbRtujko23DCbhdG+o/b+Gq2ed3cV8EZiPm2degAunzGRB5fHCX83hnhuaxZvJuVz3dxgnrtqmqWnMyYRQdgwMVaDsPKGrmxXNXvyamg96XDBmO2aEexpko+fGuhhldmugejUGVi3MYXdeTWo3BzYfNcCIYogMGOg+nVxE9xYEqsiIcaP2aFeItuui2BnAAAgAElEQVQlGFHaO/W8s6uADYn5tGuNPnnlzEDuXx4r6h+OcZLza7hzUypNGh1BXk58sHYu0f5uFplLdZOGF3/O5utDZUiSsZTG7YsiuGNJJC4OVqHjJjgLrt6QzMHietavms7Vs4MG7iAYMiIIGyasMQg7duyYSYY0Pj5+UH06dHoOFtWblAxzq1vM2n1c7FkSo2JJrIrF0Sq8XOxHYuqjTpNGyzVv7iWrqpkoP1e+uXMBHs5jo4bYmdjBeKerfl3SyWxXenmjWbbLzUHJwuius11+Vq8WJmxgbFLVqOGFn7PYfMgomuBoJ+fOJZHcsTiyl2iCsAHb58uDpTyyOR2dQWJmiCfvrJ6D7xB3nIyEHWSUN/KPLcc4UFgHgL+7A/cvi2PlzMAROZ8mODsGYwMarZ5pT/5Cp95A0v0JQ65NKRgcNilRLxgcWq0WrVY74OtK69pIzFGTlF1Ncn6taXsBgFwGM0O8TApukye6j0mn6u5oxwc3z+XK15PJq27htk0H2XTLvBFTqxtNBmsH4x11c8dJYZnqPuvXxQe4mwQ1ZoV6YTfKip5ng7CBsckED0f+dc0M1swP46ktxzhYXM+/t+fyRUopDyyP5fLppxbBwgZsF4NBYv0v2byRmA/AimkBrF81/YyEWUbCDqYEevDF7efyU0YVz249TmldO3/9Ko2P9hbx2Ip4IW9uZQzGBtLLG+nUG1C5ORAidgZZDSIIsyHs7OzM/u1Co9WTUlRnPNOSXU2+utWsXeXmYMx2xahYFO2Lp/PYyHYNRICHExvXzWXVhr0cKKzjr18d5ZVrZ9h80NmfHYx3utevS8pRk1HeR/26aNXJbYYjW79upBE2MLaZHuzJV3fO54f0Sv75o1E04d4v0tiYXMzjK+KZHeolbMBG0Wj1/N+XafyQXgnAH5dGcd+FMWf8uzRSdiCTybh4agBL4/zYmFzEa7/lcbSskVVv7uXSqQE8dHGc2OZvJQzGBlKKjFnNuWFeQvjHihDbEfvBGrcjdqekto3EHOMWw735taZzBAAKuYxZIZ4mIYH4gLGZ7Rose/JqWPvBAbR6iTuWRPDwxZMsPSXBMHGiSUNSjpqkk2e7mnrUr5sS6E5CjFHRc0bw6NevEwjOFo1Wz3u7C3ljR57pDO9l0yfy4PJYURLBxlA3d3DbRwc5UtqAnULGP1dOs5mzOermDv61LYcvUkowSGCvlHPrwnDuXhqFqzgvZvWs25jCb1nVPL4innULwy09nTGLOBM2TFhjENbWqePFn7NJylZTUGOe7fJzczhZLNmP86J88XAST0e7s/lQGfd9mQbAPy6fzOr5YZadkOCMKa1r49MDJX3Wr/NwsmPRSUXPxTG++LnZbrZLIOhOdbOGl37O4cvUUiQJHJRyblsUwV0JQjTBFsg50czNH6RQ3tCOh5Mdb944m/mRPpae1pA5VtHE0z8cIzm/FgBfVwfuXxbD1bODbVLIazxgMEjM+McvNGl0/O+PC5kaJBSjRwoRhA0T1hiESZLEvGd/Rd3cgVIuY3aol0nBbVKAm0gxD8Brv+Wy/pcc5DJ466Y5XBjvb+kpCYbInrwa7vw4leZuGa9pQR4kxKhYEuvH9CAPke0SjGkyyht5assx9p8UTfBzc+D+ZbFcNStoXO94sGZ25qi555NDNHfoCPNx5v21c4lQuVp6WmeMJElsP17NMz8co6i2DTCesX1sRbxNBpZjneyqZpb9eyfO9gqOPnGR+I0cQUQQNkxYYxAG8NXBUtwclSyI8sXdUWS7hoIkSTzybTqfHSjF0U7OZ7edy0xRkNJm+CKlhL99m4HOIDE92JM180NZHKMaspqYQGDrSJLEz5lVPPtjFiV1xkXwlEB3Hrs0nnMixCLYmvhkfzGPf5eJ3iAxL8ybN2+ajfcYUSHu1Bn4aG8Rr/yaa3owtmyyP49cMkmo71kRH+8r5tH/ZrAwypePbz3H0tMZ0ww1dlA8+eSTT47CvGwOSZLo7Ow0+5uDg4NFs02VlZUEukgEuMjx9RLp5KEik8lIiFGRXt5IXnUr24+dYPmUCTYnVFJZWUljYyOtra24uVmmnsxoYjBIPP9TNs9tzcIgGc/DvH3TbKYGeeJsPz63YY03GxCYI5PJcNG3sGKSB26Odhw/0U5ZfTtfp5aRc6KZaUGeYku6hdEbJJ794Tjrf8lBkuDKmYG8ceMs3Ib54aklfYFCLmNWqBfXzQ2hrVNPZkUTudUtfLq/hJYOHdODPceEIrG1M5ANvL+7kKyqZlbOCuRc8ZBmRBlq7CBykjZEdXU1VVVVVFdXW3oqNotSIee1P8xiaqAHta2drP0ghbrWzoE7WhHjyQ7aO/Xc8+kh3kwySjn/+YJo/nPdjDOSch5LjCcbEPRNdXU1depqLgyWseP+BP5wTghyGfyYXsUFLyXx3NYsmjVCwt4StHXquPPjVN7dXQjAfRfG8K9rpo9IQGINvsDbxZ6nrpjC1r8sYlG0L516A2/tLGDpi4l8sr8Ynd5gsbmNBwaygZSiegBRWsAKEUGYYNzh4qDkvbVzCPR0orCmlVs/TEHTTV1SYB1UN2u47u29bM2owk4h41/XTOe+C2PE2UeBoAe+rg48e+VUfvzLIhZGGRfBbybls3R9Ip8dKEFvEKcORosTTRqufWsf246dwF4h55XrZvDnC6LHhd+K8Xfjo3Xz+GDtXCJVLtS2dvK3bzNY8epudufWWHp645KKhnbKG9pRyGXMCPa09HQEPRBnwvrBGs+EtbS0YDAYkMvluLra7qFeayGvupmrNuylsV3Lssn+vHHDbJtQdxoPdpBd1cy6jUYlMU9nO966cbY469KN8WADgtPTnw1IksRvWdU888Nxk4pu3AQ3Hl8Rz4IoX0tNd1xwrKKJWz5MobJRg7eLPW/fNJs5I5x9sFZfoNUb+GRfMS9vz6Wx3ZiR/d0kPx65ZJJNi5JYI6ezge/TKvjzZ4eZFuTB939caKEZjh+EMMcwYY1BmGD4OVBYx43v7qdTb2DtgjCeuCx+XDyxtGaSTiqJtXToCPd14f21cwn3FYe8BYKh0KkzsGlfMa9szzHVz7sw3iiaIL5Pw89vWSf406eHae3UE6ky+i0hTgENbZ288msum/YWozNIKOUyVs8P4y8XROPhLM4tjjSPf5fBR3uLWXdeOI9fFm/p6Yx5hDDHMGGNwhyC4SfQy4kwXxe2ZlRxpLQBN0cls0KFYqKl2LSvmHu/OEKHzsA54d58fOs5BHg4WXpaAoHNoZDLmBXixbVzQ2jX6smoaCKvuoVP9xfT1K5lerDnuD9bOVxs3FPI/32VRqdeYkGkD5vWnYO/h6hRCOBopyAh1o9LpwVQXt9OvrqVw6UNfJ5SgpOdgskT3W1iB4qt8sLP2dS0dHD74gii/YWI00gz1NhBBGH9IIKw8UPsBDec7RXsyq1hZ24N0X5uxAhnNaroDRLP/HCcl04qiV01K4jXb5glitAKBGeJk72CpXF+XDJlAiV1bRTUtHKopIEvD5bi7KBkcoC7qC92huj0Bv7+v0xe+TUPCbh2TjCv/mEmzsJv9cLbxZ7LZwQyK8SLzIpGyhs0JGar2ZpRRYi3M2EiOzvsNGm0PP3DMQCe+H28+D0dBYYaO4jtiP1gjdsRNRoNkiQhk8lwdBRP2YYTSZJ48vtMPtxbjL1Szie3nmO1SkJjzQ5aO3T85fMjbD9+AoC/XhTDPUujxAOP0zDWbEAwdM7UBnZkG8+L5VW3ABDj78qjl8azOEY1UlMdk7R06PjTp4fYka0G4KGL47hjccSo+y1b9AU6vYHPU0r517YckzrxkhgVj146SWRrzoD+bCAxu5q1H6QQ5uNM4v1LLTjD8YPYjjhMWGMmLDMzk6qqKurr65kwYYLF5jEWkclkLI5RkVXZRM6JFn7JPMGF8f5WWVRzLNlBVaOGm97bz/7COuyVcv597Qxumh8mArABGEs2IDgzztQGwn1duH5eCL6uDhwpbaC8QcO3h8s5WtbI5IkeVunzrI2KhnZueHc/B4vrcVDKee36mVw/L8QifssWfYFcLmNakCfXzQtBbzCQXt5IQU0rnx4ooa6lgxnBnjjZi62yg6U/G/g6tYwDRXX8Lt6fiybbhm3YOqJOmEBwhijkMl65biYzQzxpbNey9oMDVDdrLD2tMUtGeSOXv76bzIomfFzs+ey2c7ls+kRLT0sgGPPYKeSsWRBG0l+Xsu68cJRyGb9lVbP83zt58vtMGtpsq3biaHK0rIHLX99DVlUzvq4OfHHHfC6eGmDpadkkHk52/O3SeLbdu4SL4v3RGyQ+3FvMkhd38N7uQjp1or7Y2ZBSVAfA3DBxzt1aEZmwfrDGTJhWq8XJyQkXFxc8PDwsNo+xjJ1CzoWT/Pkls4qSunb2FdRx+YyJ2Cut53nFWLCD7cdOsO7DFBratET5ufL57ecSF+Bu6WnZDGPBBgRnx3DYgKOdgiWxKi6dFkBFQzt56laOlDbw2YFSnOzkTA70EKIJ3fg5s4pbPkyhqV1HrL8bn91+jsXPD48FX+DpbM9l0ycyL9ybY5XNlDe0szNHzQ9HKwnyciLc10XsjjgNfdlAp87AE99nojdIPHzJJJHhHiVs7kxYc3MzTz31FEeOHOHw4cPU1NTwxBNP0FdseOjQIR544AH27duHUqnk/PPPZ/369URERAzqvbZv385jjz1GWloazs7OrFixghdeeAE/P79er7XGM2GC0aOoppWVG5Kpa+1kaayKd1bPQakQ9/5skSSJ9/cU8fQPx5AkWBjly+s3zMLDSUgVCwSWZleumqe3HCf7hPG3L1LlwqOXxpMQqxrXi2BJknhnVwH/3JqFJBnPL732h5m4OQq/NdzoDRJfHSxl/S/Z1LQYF7MLo3x5dMUk4iaIB3WD5VBJPSvfSMbbxZ7UR383rr+/o8lQYweLrypra2t5++236ejo4Iorruj3dVlZWSQkJNDZ2cmXX37J+++/T05ODosWLUKtVg/4PklJSVx88cX4+/vz3Xff8corr7B9+3YuuOACOjo6hvOSBGOAMF8X3l0zB0c7OTuy1Tz2XSZCw+bs0OkNPP5dJk9tMQZg188L5oOb54oATCCwEhZFq/jhzwt55sopeLvYk69u5eaNKaz5IIWcE80DDzAG0eoNPPJtBs/+aAzAbjw3hPfWzBEB2AihkMu4bl4IO/6awF0Jkdgr5OzOq+GSV3bxt2/TqW0R67XBcPDkVsQ5oV4iALNiLJ4J63p7mUxGTU0NKpWqz0zYNddcw44dO8jPz8fd3fg0pLi4mOjoaO69916ef/75077PvHnzaG1tJS0tDaXSKNOZnJzMeeedxxtvvMFdd91l9nqRCROAcfvJnR+nIklw/7JY7lkaZekp2STNGi1//PQwSTlqZDJ4+OI4bls0+kpiAoFgcDRptLz+Wx7v7ylEq5dQyGX8YV4I914YM262NjW2a7nnk0PszqtBJoNHL41n3XlCOGg0Ka1r47mtWfyQXgmAm4OSP10QxZoFYTgohXhHf9z20UG2HTvB3y6ZxG2LB7dbTHD22FwmTCaTDejQdDodW7Zs4aqrrjIFYAChoaEsXbqUb7/99rT9y8vLSUlJ4aabbjIFYAALFiwgJiZmwP6C8cuyyRN48rLJALz4czbfHi6z8Ixsj7L6Nq7esJekHDWOdnI23DCb2xdHioWMQGDFuDva8fAlk9h27xKWTTaKJmzaZxRNeHdXwZgXTSita+PqDcnszqvB2V7BOzfN4ZaF4cJvjTLB3s68fsMsvrxjPlMC3Wnu0PHsj1lc9PJOfsqoEjtU+kCSpFOZMCHKYdXYROW2/Px82tvbmTZtWq+2adOmsW3bNjQaTb81MjIyMkyv7av/nj17hnfCI0ROTg46nQ6lUklMTIylpzNuWLMgjPKGdt7eWcADXx/F382RBVG+FpuPLdlBWmkDt3x4kJqWDlRuDry3Zg7TgjwtPS2bx5ZsQDAyjJYNhPm68NZNc9ibX8tTW45xrLKJp384zsf7innkkklcGO8/5gKT1OJ6bv/oILWtnfi7O/DemrlMCbRO0Yvx4gvmhXvz/T0L2Xy4nBd+yqK4to07P07l3AhvHlsRz+SJ1nl/RoOeNpCvbqW+TYujnXxcfy62gE0EYbW1tQB4e/cunuvt7Y0kSdTX1xMQ0LdM7ED9u9oHIjMzk9DQULNsXEdHB1lZWQB4eXkREhJi1ic3N5e2tjYApk+fbtZWU1NDeXk5ACEhIXh5nXpiodfrTcGjm5sbERERtLe3o9VqsbOzo7CwkKamJgAmT55sluFraGiguLgYgIkTJ6JSmRfhPHr0KJIk4eTk1Mtpl5aWUldnfIISGxtrFti2tLSQn58PgJ+fX6/P+9ixY6b5xcfHm7VVVlZSXV0NQGRkJK6urqY2jUZDdnY2YLwfwcHBZn1zcnJob29HJpP1CqTVajUVFRWAMTPq6Xlqga/T6cjMzATA3d2d8PBws74FBQWmtPGUKVNQKE5tbaivr6ekpASAwMBAHloeR0VDO1uOVnLHplSePt+HME87nJ2diY6ONhu3pKSE+vp6AOLi4nBwcDC1NTU1UVhYCIC/v3+vui6ZmZnodDocHByIi4sza6uoqECtVqPVagGwszt1JqGtrY3c3FwAfHx8CAoKMuubnZ2NRqNBoVAwZcoUs7bq6moqK41bPcLCwswUtjo7Ozl+/DgAHh4ehIWFmfXNz8+npcVY9HXq1KlmKfcvk3N49Ic8OvUS0SpnPrzlXCZ6OgHGlH16ejoArq6uREZGmo1bVFREY2MjAJMmTcLe/tT2p8bGRoqKigAICAjoJayTkZGBXq/H0dGR2NhYs7aysjLT9z06OhpnZ2dTW2trK3l5eQCoVComTjSXy8/KyqKjowOlUsnkyZPN2qqqqjhxwlhsOjw8fMR9RJcvAEhLSzP5iO4IH2FktHyEr6/5g5m0tDSAEfMROp0OSZLM/ECXjwCIiorCxcXF1Ha2PsK5pZKnF7uR1uzH6ztLKapt4/ZNqZwb7s31sUrCvOyH7CNqa2spKzPuLggKCsLHx8fUZikf8eGOdJ7eVoLWAJMmuPLBzecwwcNo49boI1pbW9Hr9YDRJgdaR3TH1nzEiRNVRCtr+c8yH3ZUKdm4r4x9BXWseHU30wM9iPeSmBXgyNwof0J7fIZj2Ud0XxsCfJ9svOcxPva9lJ1H0keMxDrCGn3E6dYRXd/TwWITQVgXp3vaNpgncf1KRA7yKV7Xj153JEkyLYZ0Ol2ffbrae2IwGExtBkPvrR09x+3auimTyczG7Tmn7uN2Oeee4/b88e5Cr9ef1bj9XWv3cXtea/fPsK9xu661r/s02HHP9t7I5TLWr5pOdXMHBwrr+EeimmeXehNi3/tsxOnuzUDXqtVq0el0fe4f7n6tYG63gxlXq9X22Xa6e97Vd6Bxe17jWzsLeG6r0ZnPnGDPy6smmQKwnuP2dQ96XmvP8U83p87OTgwGg9mPYV/jnsm96frunOm4w+Ujut/7Lps53bjCR4y8j+jJYMc9Ux8BvbfzD4d9D+Qjrpzmz6pzInljRx7v7i5kX2EdBwrh/HAn7ljgSFg/4/bFYD/D0fARkiTx+o481v9iXDTPCbDnjdUz8PNwNHuNtfmI7gynHVqzj1AC9yyOZPXCKJ7fmsX3aRUcKWvkSBl8mt6E165alsbVsSRWxeJoFV4u9mPaR3RfGwKkV7UDMMm39/pkNHzEcKwjurAmH9HXuH19hkPBJoKwrsi3r4xVXV0dMpnM7MnFUPv3lSHrC6VS2esLLJPJTE6o+1Ok7n36clIAcrnc1NbXorvnuN2f3hQWFprae86p+7h9GZCdnR2SJPU5X4VCcVbjdv+3v3F7Xmv3z7Cvcbs+w76c52DHHY5742in4O2bZnPVhmTy1a38M7mRf1/WO9XffdzT2Ut/n2H31/R3rT2fYA1mXL1e32fb6e55V9/Tjdt9rlq9gUe/zeCLg6UAXBrtwi2zPPtUEhusvfRkoGu1t7dHr9cPOO6Z3BuDwTDk781I+Ihp06aZPeUeaFzhI0bHR3RnsOOeqY/oK1t+tvY9WB/h6qDkgeVxXD8vhGd/PMbWjBNsL2wnuayAP9cpufm8U6IJPX1Edwb7GY60j+jUGXh4czrfHDI+cf99rCtrZ3jg6mA+vjX6iODgYFO2fDjt0BZ8RKC7E/+5fiYPXRzH9swKfjxcRFpVB/XtejYfLmfz4XJkMpge5MlUXznTVEqifc7c91irj+iZ2cuqNUr7Tw1woSej5SP66nu6ca3dR/Q3bl+f4VCwuDpid/pTR9TpdLi7u7NmzRo2bNhg1mf58uUUFBSQk5PT77jl5eUEBQXx3HPP8eCDD5q1xcXFERISwi+//GL2d6GOKOiP0ro2Vm5IRt3cwcIoX95fO9eqijlbisY2LXd9kkpyfi1yGTy+Ip6154UP3FEgENg0KUV1PLXlGEfLjFt/gr2deOTiSSyfMsHqz4s1tHVyx6ZU9hfWoZDLePL3k7np3FBLT0twhnTqDKQW15OYU01StpqsKvN1nLeLPYujfU1ZMh9Xh35Gsk2qmzTMe/ZX5DJIe+IiUUphlLE5dcTBoFQqueyyy9i8ebPZxZWUlLBjxw5Wrlx52v6BgYHMmzePjz/+2CztuG/fPrKzswfsLxB0J9jbmQ/WzsXZXsHuvBoe2nx03Cs0ldS2sXLDHpLza3GxV/DumjkiABMIxglzw7z5793n8dKq6fi7O1Ba185dnxzi2rf3kVHeaOnp9UtRTSsr30hmf2Edrg5K3lszRwRgNo69Us78SB8evngSP/2/xex7+AKev2oqF0+ZgJuDkrrWTv57pIJ7v0hjzjPbufy13fxrWw6HSurRG2z/d/xg8clzZBPcRQBmAyie7FmQywJs3bqVtLQ00tPT+e677/Dz80Mmk3Hs2DHCwsKws7Nj6tSpvPHGG+zYsYMJEyaQkZHBbbfdhkwm46OPPjLbmqVUKklKSmLNmjWmv0VHR/Pyyy+TlpaGj48P+/bt44477iAkJIQNGzb0SgdLkkRnZ6fZ3xwcHKz+qZ5gdPBzdyR+ojtbjlZyrKIJSZKYH2k5xURLklpcxw3v7qeiQUOAhyMf33ou88J9Bu4oEAjGDDKZjPiJ7txwTggKuZwjpQ2U1LXxWUoJ5fXtzAj2xMXBek5AHCis44b39lPZqCHQ04lPbjuHOWGDO5ogsB1cHZVMCfRgxbSJ3LY4goVRvqjcHGjt0KNu7uBEUwf7C+v4IqWUj/YWkVnRRHunHpWbg1XZ62D59EAJR0obuGTqBJbG+Q3cQTCsDDV2sIrtiGFhYSYVnp4UFhaalFRSU1N58MEH2bt3L0qlkvPPP5/169f3UkSRyWQsWbKExMREs79v27aNxx9/nCNHjuDs7MyKFSt48cUXe6migHVuR1Sr1ab9uD2VigSW4fMDJTy02ajO89zKqVw3L2SAHmePNdnBd0fKuf/ro3TqDEwJdOe9NXPxd++7VIRg+LAmGxBYBmu3gfKGdl74KYvvjhhV55ztFdydEMmtiyJwtLNskd1vD5fx4NfpdOoNTA/y4J01c/Bzs02/Ze12YM2caNKQlKMmKVvNzlw1zRpzgYypgR4kxKpYEqNiRrAnSoV1bh7rbgPrPs8mvbyRV6+fyWXTJw7cWTCsDDV2sIogzBqxxiAsLS3NJEPaU6ZWYDle+iWbV3/LQyGX8e6aOSyNHdmnT9ZgB5Ik8dpveby0zXgW88J4f165bgbO9rb35NAWsQYbEFgWW7GBQyX1/ON/xzhS2gBAoKcTD10cx4ppAaO+s0SSJF7enst/fjUqt148ZQL/umYGTvaWDQrPBluxA2tHpzdwuLSBpGw1iTnVZJQ3mbV7ONmxMNqXhBgVS2JVVhW0d9mAFgU3fFOBQYK9D59PgIfTwJ0Fw8pQYwexYhIIzpL7LoyhvKGdzYfKueeTQ3x5x3yrLew5HHTo9Dz8TTqbDxsVuW5bFM5DF09CIRdbdQUCgTmzQrz49u4FfJ9WwfNbsyhvaOdPnx1mY3IRj62IZ0bw6BRv12j1PPD1Ub5PM2bm7lwSyQPLYpELvyUAlAo5c8O8mRvmzV+XxVLdrGFnTg2J2dXsyq2hsV3LD0cr+eGosRZWfIA7CbEqEmL9mBViHVmynNpODBIEeTmJAMxGEJmwfrDGTFhDQ8PJmlXy00ryC0afTp2BdRtT2J1Xg8rNgc13LSDY23ngjmeAJe2gvrWTOz5O5cBJJbF/XD6ZG84RB9lHG+ELBLZoA+2det7ZVcCGxHzatUaRrJUzA7l/eeyILhprWzq4Y1MqB4vrUcplPH3FlFHZOj4a2KId2Bo6vYG0skaSsqtJzFGbVEC7cHNUsijal4QYPxbHqEzFvUeLLht4a08Zb+0p5cqZgbx87YxRnYPAiNiOOExYYxAmsG6aNFqueXMvWVXNRPm58s2dC/BwHjvqRAXqFtZtTKGotg03ByWv3zCLxTHiDIJAIBgaVY0aXvw521SXy9FOzp1LIrljceSwbw3Mqzb6rZK6Ntwclbx542zOixqfIkqC4aGmpYOdOWoST54la2gzLwgcN8GNhFg/EmJVzA71wm6UsmQ3vLuPPXm1PHPlFPFw1EKIIGyYEEGY4EyobGznyteTqWrSMC/cm023zDMVLbVl9hXUcufHqTS0aQn0dOKDm+cS4+9m6WkJBAIb5mhZA09tOUZKkVFWO8DDkQeWx3L59MBh2SaYnFfDnR+n0qTREeztxAdr5xLlJ/yWYPjQGySOljWQmK0+mSVroPuq2tVByXlRPqagbKQyvlq9gel//4W2Tj2/3LtY/D5bCBGEDRMiCBOcKVlVTazasJfmDh0rpgXwn+tm2vS5g29Sy3ho81G0eokZwZ68s3oOKrexVeBSIBBYBkmS+DG9imd/PE55QzsA04M9eXxFPLNDvc543C9TSirU7CsAABzQSURBVHnk23R0BonZoV68fdPsMVeYV2B91LZ0sCu3xqi6mKOmrtVcrjzW382ouBirYk6oN/bK4VlTHi1r4Pev7cHDyY7Dj11o02sOW0YEYcOENQZhOp0OSZKQyWS96poJrIs9eTWs/eAAWr3EHYsjePiSScM29mjZgcEg8fL2HF79LQ+AS6cG8NI10y0uLy0QvkAw9mxAo9Xz/p5CXv8tj9ZO43mxy6ZP5MHlsQR5Df58rcEg8cLP2byZlG8a48Wrp41ZvzXW7GAsYTBIpJc3nsySVXOk1DxL5mKvYEGUr0ngI9DzzLJkOp2O9/cU8ezWbC6I8+O9tXOH6QoEQ0UEYcOENQZhQorWtth8qIz7vkwD4B+XT2b1/LBhGXc07ECj1fPXr9LYclIJ6p6lkfzfhUJJzFoQvkAwVm2gulnDSz/n8GVqKZIEDko5ty2K4K6EyAGL57Z36rnvyyNszagC4M8XRHPv76JHXQp/NBmrdjAWqW/tZGeuMUO2M0dNTYt5lizaz5UlMcaAbG6416CPMqSlpfHPnWr2lXfw4PI47kqIHLiTYEQQEvUCgZWwclYQFQ3trP8lhye/zyTAw4kL4/0tPa0BqWnp4PaPDnKopAE7hYxnr5zKqjnBlp6WQCAYB/i5OfL81dO4aX4oT205xv7COl7bkceXB0u5f1ksV80K6vNhUHWzhts+SiWt1Oi3nr9qGitnBVngCgSCvvFysefyGYFcPiMQg0Eis6KJxJOKi4dL6smtbiG3uoV3dxfibK9gQaQPS2L9SIhRnVZtWZIksmqM4iBzw858C69g9BGZsH6wxkxYYWEhOp0OpVJJeHi4xeYhGDySJPHIt+l8dqAURzs5n912LjNDzs5JjqQd5J5oZt2HKZTWtePhZMebN85mfqTPsL6H4OwRvkAwHmxAkiR+zjzBsz8ep6SuDYApge48dmk850Sc8kvZVc2s25hCeUM7ns52vHXjbLP2scx4sIPxQENbJ7vzakjMNmbK1M0dZu0RKhcSYoziHvPCvc221+4+ks2Nn+dhp5CR8fdlY0IMzFYR2xGHCWsMwgS2iU5v4LaPDrIjW42Piz2b715AqI+LpafVi925Ndz1SSrNGh2hPs68v3YukSpXS09LIBCMczp0ej5MLuLVX/No7tABcMnUCTx88SQKalq555NDtHToCPd14f21cwn3tT7/KhAMFoNB4lhlk1HcI1tNakk9esOppbqTnYL5kT4nty6qOFBYx/1fH2VOqBdf37XAgjMXiCBsmBBBmGA4ae3Qcd3b+0gvbyTc14Vv7lqAt4u9padl4rMDJTz63wz0Bom5YV68ddMcq5qfQCAQ1LR08K9tOXx+oASDBPYKOXpJQm+QOCfcm7dumo2ns/BbgrFFY7uWPXk1JGZXk5Sj5kSTeZbMQSmnQ2fgziWRPHRxnIVmKQARhA0bIggTDDfVzRpWvpFMWX07s0I8+fS2cy2u2GUwSDz/UxZv7SwA4IoZE3n+6mliO4NAILBasqqaeHrLcXbn1QBw1awg/rly6rDJfQsE1ookSRyvbCYxp9qYJSuuR3cyS/bRunksjlFZeIbjGxGEDRMiCBOMBHnVLVy1IZnGdi3LJvvzxg2zUVhIcbC9U8//++IwP2eeAOD//S6av1wwtpXEBALB2ECSJHbn1dDYruXSqQHCbwnGJU0aLcl5NXToDPx++kTxPbAwIggbJqwxCCsoKDAdwI2IiLDYPARnx4HCOm58bz+dOgNrF4TxxGXxQ3Kcw2EH1U0abv3oIEfLGrFXyHnh6mlcMTPwjMYSjD7CFwiEDQhA2IFA2IA1ISTqxzDNzc2meiAC22VeuDf/umY6f/z0MBuTiwjycuLWRYN3nGdrB8crm7hlYwoVjRq8nO14e/Uc5oZ5n9FYAssgfIFA2IAAhB0IhA3YMmJvnUBgAVZMm8jfLpkEwNM/HOeHk0WRR5odWdVcvSGZikYNESoX/nvPeSIAEwgEAoFAIBhlxHbEfrDG7Yh6vd70/wqFEE6wdSRJ4u//O8bG5CLslXI+ufWcQQVEZ2oHH+0t4snvMzFIMD/ChzdvnI2Hs3hyZosIXyAQNiAAYQcCYQPWhDgTNkxYYxAmGHvoDRJ3f5LKz5kn8HCy45u7FhDlN7y1ufQGiae2GIM9gFWzg3jmSqEkJhAIBAKBQDBcDDV2EKswgcCCKOQyXrluJjNDPGls17L2gwNUN2uGbfzWDh23f3TQFIA9sDyWF66eJgIwgUAgEAgEAgsiVmICgYVxtFPw7uo5hPk4U1bfzi0bD9LaoTvrcSsb21n15l5+zarGQSnn9T/M4u6EKCFhKxAIBAKBQGBhxHbEfrDG7Yj19fUYDAbkcjleXl4Wm4dgZCiqaWXlhmTqWjtZGqvindVzUCp629tg7CCjvJFbPkzhRFMHvq72vLN6DjNDhM2MFYQvEAgbEICwA4GwAWtCSNSPYUpKSkwypOKLNvYI83XhvTVzuP6dfezIVvPYd5k8e+WUXpmrgezgl8wq/vL5Edq1emL8XXlvzVyCvZ1H6zIEo4DwBQJhAwIQdiAQNmDLiO2IAoEVMTPEi/9cNxO5DD47UMIbifmD7itJEu/uKuCOj1Np1+pZFO3L13ctEAGYQCAQCAQCgZUhMmE2RGBgoCnlLBi7XDR5Ak/+fjKPf5fJiz9nM9HTkStnBpna+7IDnd7AE99n8sn+EgBuOCeEv/9+cp/bGQW2j/AFAmEDAhB2IBA2YMvY1B07cOAAy5Ytw83NDVdXV5YuXcqePXsG3f+bb77hvPPOw9vbG09PT+bNm8emTZtGcMbDi6+vL35+fvj6+lp6KoIRZvX8MG5fHAHAA18fJTmvxtTW0w6aNFpu3pjCJ/tLkMng0Usn8fQVU0QANoYRvkAgbEAAwg4EwgZsGZtZpaWkpLB48WLa29vZtGkTmzZtQqPRcMEFF7B3794B+7///vtcffXVBAQE8Mknn/D5558TGRnJ6tWrefnll0fhCgSCofHQ8jhWTAtAq5e4Y1MqWVVNvV5TWtfG1RuS2ZVbg5OdgrdunM2tiyKEAqJAIBAIBAKBFWMz6ojLly/nyJEjFBQU4OxsPOPS3NxMREQEMTExA2bEFi5cSFlZGQUFBaaUrSRJxMfHY29vT1pamtnrrVEdUTD+0Gj1rH7/AAcK6wjwcGTz3QsI8HAC4HBJPbd9dJCalk783R14b81cpgR6WHjGAoFAIBAIBOOPMVusec+ePSQkJJgCMDBe2OLFi0lOTqaysvK0/e3s7HB1dTX7IGQyGe7u7jg6Oo7YvAWCs8HRTsHbN80mUuVCZaOGmz9IoVmj5cf0Sq57ex81LZ1MCnDnv/ecJwIwgUAgEAgEAhvBZoQ5Ojs7cXBw6PX3rr+lp6cTEBDQb/8//elPrFq1imeeeYbbb78dmUzGxo0bSU1N5bPPPhuxeQ8naWlpJhnS6dOnW3o6glHC09mejTfPY+WGZLKqmln20m9UNBuLOV8Q58d/rp+Ji4PNfJUFw4DwBQJhAwIQdiAQNmDL2MzKLT4+nn379pkpwOh0Ovbv3w9AbW3tafuvXLmSzZs3s2bNGh599FEAnJyc+PDDD1m1atWg5pCZmUloaCju7u6mv3V0dJCVlQWAl5cXISEhZn1yc3Npa2sD6PXlqKmpoby8HICQkBCz+g56vZ6MjAzAmPGLiIgw61tYWEhTk/GM0OTJk1EqT93KhoYGiouLAZg4cSIqlcqs79GjR5EkCScnJ2JiYszaSktLqaurAyA2NtYsS9jS0kJ+vlEy3c/Pr1fQe+zYMZMjiI+PN2urrKykuroagMjISFxdXU1tGo2G7OxsALy9vQkODjbrm5OTQ3t7OzKZjGnTppm1qdVqKioqAAgNDcXT09PUptPpyMzMBMDd3Z3w8HCzvgUFBaa08ZQpU1AoFKa2+vp6SkqMSoOBgYG9Drx2bV91dnYmOjrarK2kpIT6+noA4uLizB4eNDU1UVhYCIC/vz8TJkww65uZmYlOp8PBwYG4uDjT34O9nXnh0jDu+jrHFIBdFuPKv1fPQSGX0dbWRm5uLgA+Pj4EBQWZjZudnY1Go0GhUDBlyhSzturqalMmOSwsDA+PUxm1zs5Ojh8/DoCHhwdhYWFmffPz82lpaQFg6tSpZpnm2tpaysrKAAgKCsLHx8fUZjAYSE9PB8DV1ZXIyEizcYuKimhsbARg0qRJ2Nvbm9oaGxspKioCICAgAD8/P7O+GRkZ6PV6HB0diY2NNWsrKysz+Yro6GizzHprayt5eXkAqFQqJk6caNY3KyuLjo4OlEolkydPNmurqqrixIkTAISHh4+KjwDQarWkpaUJHzEOfYROp6MnFRUVqNVqAKKionBxcTG1CR9xirHkIwwGA2D0BfX19WIdwfjzET3pbx0Bwkd0MVI+out7OlhsJgj705/+xC233MIf//hH/va3v2EwGPj73/9uchIDndX66aefuPHGG1m1ahXXXHMNSqWS77//nrVr19LZ2cnNN9884Bx0Oh09j9BJkoRWqzW199Wnq70nBoPB1NblSLvTc1xnZ2d0Oh1KpdJs3J5z6j6uXq/vc1xJkrCzs+vVptfrz2rc/q61+7g9r7X7Z9jXuF3X2pfYxGDHHel709+4p7OX/j5DnU7Xpz1H+Thw/3wPPs1oYVm0O1dO9UUhlw16XK1W22fb6e5592sd6j0f7GfYV//uc+rJQNfa2dmJwWAw+zHsa9wzuTdd350zHXe47NDZ2RmtVktbW5vJZk43rvARY9NHODs7my2ch8O+hY+wLR9hZ2dnmstw2qHwEb3HtVYf0X1t2DVuf+sI4SMwzXGkfMRQsJkgbN26dajVap5++mk2bPj/7d1/TFX1H8fx14XLL0EFFLOrKQ2ZSOrMZGqbSkViOMof89dsWGj5k4WbJqQF+KMktYlpzR+5aYrp/FU6XM1EW4U2FUs05k/EWYlKKhcFQ/j+0bxfEFArOefifT425vycc899n8v7Hs77nM/ncz6VJPXu3VvTpk1Tenq62rRpU+9rq6qqFB8fr759+2r16tWO9qioKF27dk0JCQkaPnx4jSsCdbFarbW+wBaLxXEQqv7HsPpr6jpISX8XjneW1fVluXu71a+UnD171rH87piqb7euBPLw8FBVVVWd8bq7u/+n7Vb/t77t3r2v1T/DurZ75zOs6+D5oNtt6N9Nfdu9V77U9xlWX6c6d3d39Wjrpx5t/WpdwXqQ7d6+fbvOZff6nVff1/q2+18/w/vly93ut6+enp66ffv2fbf7b343lZWV//h70xB5GBoaWuMq9z/NQ44Rtbfb2I4RdV3l/q/5zTGi8R0jWrdu7bhb/jDzkGNE7e066zHi7rto9zuP4BjRsMeIf6LRzI54R3l5uU6ePKmmTZuqffv2Gj9+vNavX69Lly7Jx8enztf88ccfevzxx5WamqqUlJQay5YuXaqEhATl5eXV6D7A7IgAAAAAHsQ/rR0azZ2wO7y8vBx9UQsLC7Vx40a98cYb9RZg0t99rL29vbV///5ay3JycuTm5nbPST0AAAAA4GFpNEVYXl6etmzZoh49esjLy0s///yz5s+fr9DQUM2ZM6fGui+88IL27dvn6Gfr5eWlSZMm6aOPPlJcXJxGjBghd3d3bd++XZmZmRo7dqwCAwPN2C0AAAAALqbRFGGenp7as2ePlixZIrvdrnbt2mnChAlKSkqqNZbr9u3btQbaLViwQJ06ddLy5cv16quvqrKyUiEhIVq6dKnefPNNI3flXyssLHQMvrx79iS4DvIA5ADIAUjkAciBxqzRjQkzijOOCeNZEJDIA5ADIAfwN/IA5IDz+Ke1A7NMAAAAAICBuBNWD2e8E1ZeXq6qqirH9MRwTeQByAGQA5DIA5ADzuSRnx3RlfHlgkQegBwAOYC/kQcgBxovuiMCAAAAgIEowgAAAADAQHRHrEddQ+UqKytNiOT/qvczbdq0qYmRwEzkAcgBkAOQyAOQA86krjrhXlNvMDFHPSoqKlRaWmp2GAAAAAAaIV9fX1mtdd/zojsiAAAAABiIIgwAAAAADEQRBgAAAAAGYkxYPSorK2sNsLNYLLJYLCZFBAAAAMAZVVVV1ZqIw83Nrd6HNVOEAQAAAICB6I4IAAAAAAaiCGsE7Ha7EhMTZbPZ5O3trW7duumLL74wOywYZM+ePYqPj1dYWJh8fX3Vpk0bvfLKKzp06JDZocFkq1atksVikZ+fn9mhwEDff/+9YmJiFBAQIB8fH4WGhmrOnDlmhwUD5ebmatCgQbLZbGrSpInCwsI0e/Zs3bhxw+zQ8JCVlJTo7bffVv/+/RUUFCSLxaLU1NQ61z18+LCioqLk5+cnf39/DRkyRGfOnDE2YDwwirBGYMiQIVqzZo1SUlK0a9cuRUREaNSoUcrMzDQ7NBjg008/VUFBgd566y1lZWUpIyNDRUVF6tWrl/bs2WN2eDDJhQsXNG3aNNlsNrNDgYEyMzPVr18/NW/eXGvXrlVWVpZmzJhxzweC4tFy/PhxPfvssyooKNDixYu1c+dOjRw5UrNnz9aoUaPMDg8P2ZUrV7RixQqVl5dr0KBB9a6Xn5+vyMhI3bp1S5s2bdLq1at14sQJ9enTR5cuXTIwYjwoxoQ5uaysLA0cOFCZmZk1Dq79+/fXsWPHVFhYKHd3dxMjREMrKipSq1atarTZ7XZ16NBBnTt31u7du02KDGaKjY2VxWJRYGCgNm/eLLvdbnZIaGAXLlxQx44dFRcXp08++cTscGCSWbNmad68eTp16pRCQkIc7ePHj9eKFStUXFysgIAAEyPEw3TnNN1isejy5csKCgpSSkpKrbthw4cPV3Z2tk6fPq1mzZpJks6dO6fQ0FBNnTpV6enpRoeO++BOmJPbtm2b/Pz8NGzYsBrtr7/+un777TcdOHDApMhglLsLMEny8/NTeHi4zp8/b0JEMNu6deu0b98+TsRdzKpVq1RaWqoZM2aYHQpM5OHhIUlq3rx5jXZ/f3+5ubnJ09PTjLDQQB5kZu6Kigrt3LlTQ4cOdRRgktS+fXs999xz2rZtW0OHiX+BIszJ5eXlqVOnTrJarTXau3bt6lgO13Pt2jUdPnxYTz31lNmhwGBFRUVKTEzU/Pnz1bZtW7PDgYG+++47BQYGKj8/X926dZPValWrVq00YcIEXb9+3ezwYJAxY8bI399fEydO1JkzZ1RSUqKdO3dq+fLlmjx5snx9fc0OEQY7ffq0bt686Tg3rK5r1646deqUysrKTIgM90IR5uSuXLmiwMDAWu132q5cuWJ0SHACkydPVmlpqWbOnGl2KDDYpEmT1LFjR02cONHsUGCwCxcu6MaNGxo2bJhGjBih3bt3a/r06Vq7dq1iYmIYF+YigoODlZOTo7y8PIWEhKhZs2aKjY3VmDFjlJGRYXZ4MMGdc8H6zherqqr0559/Gh0W7sN6/1Vgtnvdhubh0a7n3Xff1fr16/Xxxx/rmWeeMTscGGjLli3asWOHcnNz+e67oMrKSpWVlSklJUVJSUmSpMjISHl6eioxMVHffvutoqKiTI4SDa2goECxsbF67LHHtHnzZgUFBenAgQOaO3eu7Ha7PvvsM7NDhEk4X2xcKMKcXIsWLeq821VcXCyp7qseeHSlpaVp7ty5mjdvnqZMmWJ2ODCQ3W7X5MmTlZCQIJvNpqtXr0qSbt26JUm6evWqPDw86Ir0CGvRooVOnjyp6OjoGu0vvfSSEhMTHdNT49GWlJSk69ev68iRI47ve9++fdWyZUvFx8crLi5O/fr1MzlKGKlFixaS6u4dVVxcLIvFIn9/f6PDwn3QHdHJdenSRb/++qsqKipqtB89elSS1LlzZzPCggnS0tKUmpqq1NRUvfPOO2aHA4NdvnxZFy9e1KJFixQQEOD42bBhg0pLSxUQEKDRo0ebHSYaUF3jPaT/z57m5safdFdw5MgRhYeH17rgEhERIYmx4q4oJCREPj4+jnPD6o4ePaoOHTrI29vbhMhwLxyxndzgwYNlt9u1ZcuWGu1r1qyRzWZTz549TYoMRpozZ45SU1M1a9YspaSkmB0OTNC6dWtlZ2fX+omOjpa3t7eys7M1d+5cs8NEAxo6dKgkadeuXTXas7KyJEm9evUyPCYYz2az6dixY7UeS5GTkyNJTNjjgqxWq2JjY7V161aVlJQ42gsLC5Wdna0hQ4aYGB3qw3PCGoH+/fvr4MGDSk9PV4cOHbRhwwatXLlS69at48q3C1i0aJGmTZumAQMG1FmAceLl2l577TWeE+ZCXn75ZX3zzTeaNWuWevXqpYMHDyotLU1RUVHasWOH2eHBAF999ZUGDRqknj17aurUqWrZsqX279+vDz74QO3atVNubi7T1D9idu3apdLSUpWUlCg+Pl7Dhg3T8OHDJUkxMTFq0qSJ8vPzFRERoe7duyspKUllZWV67733VFxcrCNHjigoKMjkvcDdKMIaAbvdrpkzZ2rTpk0qLi5WWFiYkpOTNXLkSLNDgwEiIyO1b9++epfzFXZtFGGu5ebNm0pLS1NmZqZ+//132Ww2jR49WikpKfLy8jI7PBgkOztb8+fP1y+//KJr167piSeeUGxsrJKTkx3jg/DoCA4O1rlz5+pcdvbsWQUHB0uSDh06pBkzZignJ0dWq1XPP/+8Fi5cWOOh3nAeFGEAAAAAYCDGhAEAAACAgSjCAAAAAMBAFGEAAAAAYCCKMAAAAAAwEEUYAAAAABiIIgwAAAAADEQRBgAAAAAGoggDALicH3/8Uampqbp69WqN9sjISEVGRpoTFADAZfCwZgCAy1m4cKGmT5+us2fPKjg42NF+/PhxSVJ4eLhJkQEAXIHV7AAAAHAWFF8AACPQHREA4FJSU1M1ffp0SdKTTz4pi8Uii8WivXv31uqOWFBQIIvFogULFig9PV3BwcHy8fFRZGSkTpw4ob/++ktJSUmy2Wxq3ry5Bg8erKKiolrvuXHjRvXu3Vu+vr7y8/NTdHS0cnNzjdplAICToQgDALiUcePGKSEhQZK0detW5eTkKCcnR927d6/3NcuWLdMPP/ygZcuWadWqVcrPz1dsbKzGjh2rS5cuafXq1frwww+1e/dujRs3rsZr33//fY0aNUrh4eHatGmTPv/8c5WUlKhPnz6O7o8AANdCd0QAgEtp27at2rVrJ0l6+umna4wJq4+/v7+2b98uN7e/r11evnxZiYmJCgsL05dffulYLz8/X4sXL9b169fVrFkznT9/XikpKZoyZYqWLFniWO/FF19UaGio0tLStHHjxoe7gwAAp8edMAAA7iMmJsZRgElSp06dJEkDBw6ssd6d9sLCQknS119/rYqKCsXFxamiosLx4+3trX79+mnv3r3G7AAAwKlwJwwAgPsIDAys8X9PT897tpeVlUmSLl68KEmKiIioc7vVCzsAgOugCAMAoIG0bNlSkrR582a1b9/e5GgAAM6CIgwA4HK8vLwkSTdv3mzQ94mOjpbVatXp06c1dOjQBn0vAEDjQREGAHA5Xbp0kSRlZGRozJgx8vDwUMeOHR/6+wQHB2v27NmaOXOmzpw5owEDBiggIEAXL17UTz/9JF9fX6WlpT309wUAODeKMACAy4mMjFRycrLWrFmjlStXqrKyUtnZ2Q3yXsnJyQoPD1dGRoY2bNig8vJytW7dWhEREZowYUKDvCcAwLlZqqqqqswOAgAAAABcBdMyAQAAAICBKMIAAAAAwEAUYQAAAABgIIowAAAAADAQRRgAAAAAGIgiDAAAAAAMRBEGAAAAAAaiCAMAAAAAA1GEAQAAAICBKMIAAAAAwEAUYQAAAABgIIowAAAAADDQ/wDOjSvx++VGgAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "data = [10.1, 10.2, 9.8, 10.1, 10.2, 10.3, \n",
    "        10.1, 9.9, 10.2, 10.0, 9.9, 11.4]\n",
    "plt.plot(data)\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('position');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After a period of near steady state, we have a very large change. Assume the change is past the limit of the aircraft's flight envelope. Nonetheless the Kalman filter incorporates that new measurement into the filter based on the current Kalman gain. It cannot reject the noise because the measurement could reflect the initiation of a turn. Granted it is unlikely that we are turning so abruptly, but it is impossible to say whether \n",
    "    \n",
    "* The aircraft started a turn awhile ago, but the previous measurements were noisy and didn't show the change.\n",
    "      \n",
    "* The aircraft is turning, and this measurement is very noisy\n",
    "    \n",
    "* The measurement is very noisy and the aircraft has not turned\n",
    "\n",
    "* The aircraft is turning in the opposite direction, and the measurement is extremely noisy\n",
    "\n",
    "\n",
    "Now, suppose the following measurements are:\n",
    "\n",
    "   11.3 12.1 13.3 13.9 14.5 15.2\n",
    "   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data2 = [11.3, 12.1, 13.3, 13.9, 14.5, 15.2]\n",
    "plt.plot(data + data2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Given these future measurements we can infer that yes, the aircraft initiated a turn. \n",
    "\n",
    "On the other hand, suppose these are the following measurements."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data3 = [9.8, 10.2, 9.9, 10.1, 10.0, 10.3, 9.9, 10.1]\n",
    "plt.plot(data + data3);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this case we are led to conclude that the aircraft did not turn and that the outlying measurement was merely very noisy. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## An Overview of How Smoothers Work\n",
    "\n",
    "The Kalman filter is a *recursive* filter with the Markov property - it's estimate at step `k` is  based only on the estimate from step `k-1` and the measurement at step `k`. But this means that the estimate from step `k-1` is based on step `k-2`, and so on back to the first epoch. Hence, the estimate at step `k` depends on all of the previous measurements, though to varying degrees. `k-1` has the most influence, `k-2` has the next most, and so on. \n",
    "\n",
    "Smoothing filters incorporate future measurements into the estimate for step `k`. The measurement from `k+1` will have the most effect, `k+2` will have less effect, `k+3` less yet, and so on. \n",
    "\n",
    "This topic is called *smoothing*, but I think that is a misleading name. I could smooth the data above by passing it through a low pass filter. The result would be smooth, but not necessarily accurate because a low pass filter will remove real variations just as much as it removes noise. In contrast, Kalman smoothers are *optimal* - they incorporate all available information to make the best estimate that is mathematically achievable."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Types of Smoothers\n",
    "\n",
    "There are three classes of Kalman smoothers that produce better tracking in these situations.\n",
    "\n",
    "* Fixed-Interval Smoothing\n",
    "\n",
    "This is a batch processing based filter. This filter waits for all of the data to be collected before making any estimates. For example, you may be a scientist collecting data for an experiment, and don't need to know the result until the experiment is complete. A fixed-interval smoother will collect all the data, then estimate the state at each measurement using all available previous and future measurements. If it is possible for you to run your Kalman filter in batch mode it is always recommended to use one of these filters a it will provide much better results than the recursive forms of the filter from the previous chapters.\n",
    "\n",
    "\n",
    "* Fixed-Lag Smoothing\n",
    "\n",
    "Fixed-lag smoothers introduce latency into the output. Suppose we choose a lag of 4 steps. The filter will ingest the first 3 measurements but not output a filtered result. Then, when the 4th measurement comes in the filter will produce the output for measurement 1, taking measurements 1 through 4 into account. When the 5th measurement comes in, the filter will produce the result for measurement 2, taking measurements 2 through 5 into account. This is useful when you need recent data but can afford a bit of lag. For example, perhaps you are using machine vision to monitor a manufacturing process. If you can afford a few seconds delay in the estimate a fixed-lag smoother will allow you to produce very accurate and smooth results.\n",
    "\n",
    "\n",
    "* Fixed-Point Smoothing\n",
    "\n",
    "A fixed-point filter operates as a normal Kalman filter, but also produces an estimate for the state at some fixed time $j$.  Before the time $k$ reaches $j$ the filter operates as a normal filter. Once $k>j$ the filter estimates $x_k$ and then also updates its estimate for $x_j$ using all of the measurements between $j\\dots k$. This can be useful to estimate initial paramters for a system, or for producing the best estimate for an event that happened at a specific time. For example, you may have a robot that took a photograph at time $j$. You can use a fixed-point smoother to get the best possible pose information for the camera at time $j$ as the robot continues moving.\n",
    "\n",
    "## Choice of Filters\n",
    "\n",
    "The choice of these filters depends on your needs and how much memory and processing time you can spare. Fixed-point smoothing requires storage of all measurements, and is very costly to compute because the output is for every time step is recomputed for every measurement. On the other hand, the filter does produce a decent output for the current measurement, so this filter can be used for real time applications.\n",
    "\n",
    "Fixed-lag smoothing only requires you to store a window of data, and processing requirements are modest because only that window is processed for each new measurement. The drawback is that the filter's output always lags the input, and the smoothing is not as pronounced as is possible with fixed-interval smoothing.\n",
    "\n",
    "Fixed-interval smoothing produces the most smoothed output at the cost of having to be batch processed. Most algorithms use some sort of forwards/backwards algorithm that is only twice as slow as a recursive Kalman filter. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fixed-Interval Smoothing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are many fixed-lag smoothers available in the literature. I have chosen to implement the smoother invented by Rauch, Tung, and Striebel because of its ease of implementation and efficiency of computation. It is also the smoother I have seen used most often in real applications. This smoother is commonly known as an RTS smoother.\n",
    "\n",
    "Derivation of the RTS smoother runs to several pages of densely packed math. I'm not going to inflict it on you. Instead I will briefly present the algorithm, equations, and then move directly to implementation and demonstration of the smoother.\n",
    "\n",
    "The RTS smoother works by first running the Kalman filter in a batch mode, computing the filter output for each step. Given the filter output for each measurement along with the covariance matrix corresponding to each output the RTS runs over the data backwards, incorporating its knowledge of the future into the past measurements. When it reaches the first measurement it is done, and the filtered output incorporates all of the information in a maximally optimal form.\n",
    "\n",
    "The equations for the RTS smoother are very straightforward and easy to implement. This derivation is for the linear Kalman filter. Similar derivations exist for the EKF and UKF. These steps are performed on the output of the batch processing, going backwards from the most recent in time back to the first estimate. Each iteration incorporates the knowledge of the future into the state estimate. Since the state estimate already incorporates all of the past measurements the result will be that each estimate will contain knowledge of all measurements in the past and future. Here is it very important to distinguish between past, present, and future so I have used subscripts to denote whether the data is from the future or not.\n",
    "\n",
    "    Predict Step\n",
    "    \n",
    "$$\\begin{aligned}\n",
    "\\mathbf{P} &= \\mathbf{FP}_k\\mathbf{F}^\\mathsf{T} + \\mathbf{Q }\n",
    "\\end{aligned}$$\n",
    "\n",
    "    Update Step\n",
    "    \n",
    "$$\\begin{aligned}\n",
    "\\mathbf{K}_k &= \\mathbf{P}_k\\mathbf{F}^\\mathsf{T}\\mathbf{P}^{-1} \\\\\n",
    "\\mathbf{x}_k &= \\mathbf{x}_k + \\mathbf{K}_k(\\mathbf{x}_{k+1} - \\mathbf{Fx}_k) \\\\\n",
    "\\mathbf{P}_k &= \\mathbf{P}_k + \\mathbf{K}_k(\\mathbf{P}_{k+1} - \\mathbf{P})\\mathbf{K}_k^\\mathsf{T}\n",
    "\\end{aligned}$$\n",
    "\n",
    "As always, the hardest part of the implementation is correctly accounting for the subscripts. A basic implementation without comments or error checking would be:\n",
    "\n",
    "```python\n",
    "def rts_smoother(Xs, Ps, F, Q):\n",
    "    n, dim_x, _ = Xs.shape\n",
    "\n",
    "    # smoother gain\n",
    "    K = zeros((n,dim_x, dim_x))\n",
    "    x, P, Pp = Xs.copy(), Ps.copy(), Ps.copy\n",
    "\n",
    "    for k in range(n-2,-1,-1):\n",
    "        Pp[k] = dot(F, P[k]).dot(F.T) + Q # predicted covariance\n",
    "\n",
    "        K[k]  = dot(P[k], F.T).dot(inv(Pp[k]))\n",
    "        x[k] += dot(K[k], x[k+1] - dot(F, x[k]))\n",
    "        P[k] += dot(K[k], P[k+1] - Pp[k]).dot(K[k].T)\n",
    "    return (x, P, K, Pp)\n",
    "```\n",
    "        \n",
    "This implementation mirrors the implementation provided in FilterPy. It assumes that the Kalman filter is being run externally in batch mode, and the results of the state and covariances are passed in via the `Xs` and `Ps` variable.\n",
    "\n",
    "Here is an example. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from numpy import random\n",
    "from numpy.random import randn\n",
    "import matplotlib.pyplot as plt\n",
    "from filterpy.kalman import KalmanFilter\n",
    "import kf_book.book_plots as bp\n",
    "\n",
    "def plot_rts(noise, Q=0.001, show_velocity=False):\n",
    "    random.seed(123)\n",
    "    fk = KalmanFilter(dim_x=2, dim_z=1)\n",
    "\n",
    "    fk.x = np.array([0., 1.])      # state (x and dx)\n",
    "\n",
    "    fk.F = np.array([[1., 1.],\n",
    "                     [0., 1.]])    # state transition matrix\n",
    "\n",
    "    fk.H = np.array([[1., 0.]])    # Measurement function\n",
    "    fk.P = 10.                     # covariance matrix\n",
    "    fk.R = noise                   # state uncertainty\n",
    "    fk.Q = Q                       # process uncertainty\n",
    "\n",
    "    # create noisy data\n",
    "    zs = np.asarray([t + randn()*noise for t in range (40)])\n",
    "\n",
    "    # filter data with Kalman filter, than run smoother on it\n",
    "    mu, cov, _, _ = fk.batch_filter(zs)\n",
    "    M, P, C, _ = fk.rts_smoother(mu, cov)\n",
    "\n",
    "    # plot data\n",
    "    if show_velocity:\n",
    "        index = 1\n",
    "        print('gu')\n",
    "    else:\n",
    "        index = 0\n",
    "    if not show_velocity:\n",
    "        bp.plot_measurements(zs, lw=1)\n",
    "    plt.plot(M[:, index], c='b', label='RTS')\n",
    "    plt.plot(mu[:, index], c='g', ls='--', label='KF output')\n",
    "    if not show_velocity:\n",
    "        N = len(zs)\n",
    "        plt.plot([0, N], [0, N], 'k', lw=2, label='track') \n",
    "    plt.legend(loc=4)\n",
    "    plt.show()\n",
    "    \n",
    "plot_rts(7.)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I've injected a lot of noise into the signal to allow you to visually distinguish the RTS output from the ideal output. In the graph above we can see that the Kalman filter, drawn as the green dotted line, is reasonably smooth compared to the input, but it still wanders from from the ideal line when several measurements in a row are biased towards one side of the line. In contrast, the RTS output is both extremely smooth and very close to the ideal output.\n",
    "\n",
    "With a perhaps more reasonable amount of noise we can see that the RTS output nearly lies on the ideal output. The Kalman filter output, while much better, still varies by a far greater amount."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAz0AAAFrCAYAAAD7IOe2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nOzdd3gU5fr/8fdmN42EFFKAUEILNfQiqEiRIigiYEEEgghE0HM8KCKWrx71dxQ84MFjY0NXqSJSRKqEYKGDECCBECAQAqQQEtK3/f7YkyGbDYGEDMnG+3VdXibzzDw789nJsPfOzDMai8ViQQghhBBCCCGqKafKXgEhhBBCCCGEUJMUPUIIIYQQQohqTYoeIYQQQgghRLUmRY8QQgghhBCiWpOiRwghhBBCCFGt6Sp7BQDMZjNms9lmmkajQaPRVNIaCSGEEEIIIaoii8VC8QGonZyccHK69fmcKlP0ZGdnV/ZqCCGEEEIIIRyQh4dHqUWPXN4mhBBCCCGEqNak6BFCCCGEEEJUa1L0CCGEEEIIIaq1KnFPT0kDFtzuujwhhBBCCCHEX09J4wHcbgC0Klv03G4EBiGEEEIIIYSA2xc9UlUIIYQQQgghqrUqcaanqjp9+jRGoxGdTkfz5s0re3WqJclYfZKx+iRj9UnG6pOM1ScZq08yVp+jZixFTylyc3MxGAw4OztX9qpUW5Kx+iRj9UnG6pOM1ScZq08yVp9krD5HzVgubyuFRqNR/hPqkIzVJxmrTzJWn2SsPslYfZKx+iRj9TlqxhqLxWKp7JUwm83cuHHDZlrNmjVlIAMhhBBCCCGEjfLUDlJVCCGEEEIIIaq1uy56FixYgEajwdPT067t8OHD9OvXD09PT3x8fBg+fDhnz56925cUQgghhBBCiDt2V0XPpUuXmDZtGkFBQXZtsbGx9O7dm4KCAlavXs2iRYs4ffo0PXv2JCUl5W5eVgghhBBCCCHu2F3d0zNkyBA0Gg21atVizZo1ZGVlKW1PP/00kZGRxMfH4+XlBUBCQgIhISFMnTqVWbNmKfNW1Xt6UlJSMJlMaLVaAgICKnVdqivJWH2SsfokY/VJxuqTjNUnGatPMlZfVci4PLVDuYes/u6774iKiuLkyZO88847Nm1Go5GffvqJsWPHKgUPQHBwMH369OHHH3+0KXqqqqSkJGVIPvnDUYdkrD7JWH2SsfokY/VJxuqTjNUnGavHYrGwd+9eNBoNOp3O4TIuV9GTnJzMP/7xD2bOnEn9+vXt2uPj48nNzaVdu3Z2be3atWP79u3k5eXh5uZ2y9c4ceIEwcHBNkVTfn4+sbGxAPj6+tKwYUObZeLi4sjJyQGgffv2Nm2pqalcunQJgIYNG+Lr66u0mUwmjh8/DlirxCZNmtgsazQaOXr0KABt2rRBp7sZ2/Xr10lISAAgKCjI7s0/duwYFosFd3d3uwc4Xbx4kWvXrgHQokULmzyysrKIj48HIDAwkLp169ose/LkSeWPunXr1jZtly9fJjk5GYCmTZva3G+Vl5fHqVOnAKhVqxYNGjSwWfb06dPk5uai0Wjs3r+UlBSSkpIAawHr4+Njk9GJEycA8PLyonHjxjbLnj17VqnIQ0ND0Wq1Nu0Gg4GjR49Sr149/P39bdoKs69RowYhISE2bRcuXCA9PR2Ali1b4urqqrRlZmZy7tw5AGrXrk2dOnVslj1x4gRGoxFXV1datmxp05aUlKRchtmsWTM8PDyUtpycHOLi4gDw8/Oz+xs4deoUeXl5aLVaQkNDbdqSk5O5fPkyAI0aNcLb21tpKygoICYmBgBvb28aNWpks2x8fLxyNrVt27Y232akpaWRmJgIQP369fHz81PaCk/mGgwG4uPjadq0qU2/58+fJyMjA4BWrVrh4uKitGVkZHD+/HkA6tatS2BgoM2yx48fx2Qy4ebmRosWLWzaEhMTSUtLAyAkJIQaNWoobdnZ2Zw5cwaAgIAAu0tkY2Njyc/PR6fT0aZNG5u2K1eucPXqVQAaN25cZY4RYM248IFtheQYcTOj8h4j0tPTMRgMgPXbveLkGGFV3mOE2WwmOjpaybg4OUZY3c0x4ty5c2RmZpaYsRwjrO72GHHhwgVAjhElHSPS0tJYvXo1R44cQavV0qNHD5577jmbDEs7RqSnp/PJJ5/www8/EBcXxwcffMCgQYOU9so4RhT+nZZFuYqeKVOm0KJFCyZPnlxie+EK1qpVy66tVq1aWCwW0tPT7f4AizIajRS/8s5isSgHjMIPGcWXudVB22w2l/qPZkn9BgcHYzabuXLlihJu8XUq2q/JZCqxX4vFUuIDnEwmk7Jsefq91bYW7bf4thbNsKR+CzMsaez1O+23LO9NcHAwGRkZpKSkYDAY7vi9Kanf0vaXW2VoNBpLPBVa2ntzJ/0aDIYS20rrt3DZ2/VbktL27+DgYOUfvpKWL7pOxd1uWwsKCjCbzXZFbPF+y5thSRndab/34hhRyN3dXY4RZei3PO9NoaIfNAvJMcK235Lc6f7t5uZm9wFMjhFWd3OMKNpvcHCwzd+7HCPs+72b98bf3x8vLy+bv9u/6jHCbDbz3nvvMXv2bPLy8pR55s2bxxdffMF3332nFNLF92+LxcKBAwfQ6/WsXLnSpsjYuHEjL730krLdlXWMKKsyFz0//PADGzdu5MiRI7d9KFFp7bdbVqfT2c2j0WiUP/qi36QWXeZWT4d1cnJS2kraOUvqt/AbiIyMDCX04utUtN+S3jBnZ2csFkuJ66vVapVly9Nv0f/fqt/i21o0w5L6LcywpPfnTvsty3vj4+ODxWLh+vXrJfZbdBtv129p+8utMiw6T1GlvTd30m/hta5l6bdw2dL6Lc/+7e3tfcf7S3G321YXFxdMJpMqGZrN5jL/3dzrY0Qhd3d3OUaUod+7eW9KGilUjhE32+52/3Z3d7f59r34OhUnxwjbdbqTfn19fW3mkWOEfb93e4wo/qX7X/UY8corr/DFF1/YzQNw4MABHnroIfbt20dwcLCSYXZ2NkuXLmXZsmX8+eefdst17NiRl156CV9fX+X1K+sYUVZlGsggKyuLZs2aMXr0aJv7eKZMmcKGDRtITEzE2dmZxMREWrZsyZdffsmUKVNs+nj99deZM2cOOTk5ymnYqjqQgRBCCCGEEI7m8OHDdO7cGbAWD1OmTGHo0KGcP3+eWbNmKZfXjRo1imXLlnHo0CH0ej3Lly8nOzvbpi8vLy9Gjx5NeHh4ibeuVAbVBzJITU3l6tWrzJkzhzlz5ti1+/r6MnToUNasWYO7uzvR0dF280RHR9OsWbNS7+cRQgghhBBClI9er1d+njVrFq+99pry+7BhwwgJCeHatWusWrWKkydPlnhWp2vXroSHhzNy5Eibe5IcVZmKnjp16hAZGWk3febMmURFRbF582b8/f3R6XQMGTKEtWvX8sknn1CzZk3AerNYZGQkU6dOrZi1V1nhfUWFo1SIiicZq08yVp9krD7JWH2SsfokY/VJxlaHDh1Sfg4PD7dpu3jxInXr1uXatWuYTCabgsfT05PnnnuO8PBwOnbsWGLfjppxmdbUzc2N3r17201fsmQJWq3Wpu3999+na9euPPbYY8yYMYO8vDzeffdd/P39barNquzEiRPKyCbFR3ERFUMyVp9krD7JWH2SsfokY/VJxuqTjEuWk5PD6tWrmTdvHvv27bNr79ixI+Hh4YwaNUo5WXErjpqxauVZy5Yt2bVrF2+88QZPPvkkOp2Ovn37Mnv2bIca01sIIYQQQghH0rlzZ+Vsz6BBg4iOjlaGlS5Ko9GwdetW+vXrV67BARxJhRQ9S5YsYcmSJXbTO3fuzI4dOyriJSqFl5eX3TM3RMWSjNUnGatPMlafZKw+yVh9krH6JGPIzc21GXr+t99+s2l3cXGhoKAAgJEjR9K/f/8y9e+oGZdp9Da1yOhtQgghhBBClF9sbCx6vZ6lS5cqD1y9SQvUAS4pUwIDA9m/fz/BwcH3cjUrhOqjtwkhhBBCCCGqhvz8fH744Qf0ej27d++2a3ep6U+By2BImwucBzoB1pHZvvvuO4cseMpLih4hhBBCCCEqkMViIS0tDYPBQEBAQIVfChYXF0dERARLliwhNTXVps3Z2RWPhh243vEiBW2S4OpRai53oU3rNPr1+4DBg/vRvXv3an8PT3FS9AghhBBCCFEBDAYDer2eL7/8ktjYWABq1arF+PHjmTZtGrVr1y533wUFBaxbtw69Xs/OnTvt2v38Q8gJaEFun/1cD7SO0KYz1GJY22EsvuqMh1s/oF+5X9/RyT09pTh79qxyo1aTJk0qdV2qK8lYfZKx+iRj9UnG6pOM1ScZq68yM87Ly+Pxxx9n+/btJbbXr1+fnTt3EhISUqZ+z549S0REBIsXLyY5OdmmTadzJihoBIluDTAP04N7JgCe5vr8rfM03n5kAh4uFftg0aqwH8s9PRXsxo0byjjkQh2SsfokY/VJxuqTjNUnGatPMlZfZWY8Y8YMm4Lnvvvuw8fHh8jISAoKCkhMTGTo0KFER0ej1WpL7ctgMLBx40b0ej3btm2zaw8IaIaT0ySuXh3HhQsB0PwncP83dXWt+Gf/NxjX+VlctC4Vvo3guPuxFD1CCCGEEELchevXrzN//nwAXF1d2bJlC7179wYgMTGRAQMGEBMTQ0xMDFu2bOHRRx8tsZ+EhATmz5/PwoULuXLlik2bVqujYcNhXMoeQMr9uyDNQI0bAYwaBeHhj5Lqs5kBTQfgpJHRj0sil7eVwmQyKT/friIX5SMZq08yVp9krD7JWH2SsfokY/VVVsarV6/mmWeeAWDy5Ml89dVXNu3r16/niSeeAGD8+PEsXLhQaTMajWzatAm9Xs+WLVuw/2juCYyFoEHQSw8tfgLAQ+NH/EuJ1PZzU227SlIV9mO5vK2CyQFJfZKx+iRj9UnG6pOM1ScZq08yVl9lZXzt2jXl506dOtm1F51W+AydxMREFixYwIIFC7h06VKxJTRAKGjehhBXeOBTCP5fIWWB4S2H89ZDb93zggccdz+W819CCCGEEELchTp16ig/R0VF2bUXnVY44EFwcDDvv/++TcHj798Qd/cpQCJwDPpEw6hhEPwrmIBDwBcQsCuAzkGd1dugakgubxNCCCGEEOIu5ObmUq9ePdLT09FoNCxcuJCxY8ei1Wo5cOAAQ4YM4erVqyUu6+TkRLNmj3El63Eym12E8/3gQg9cXHbw6iwjCw3PE9Y+jE4FnXjh6RfIzc3F2dmZxMREAgMD7/GWVg3lqR2k6ClFeno6ZrMZJycnfH19K3VdqivJWH2SsfokY/VJxuqTjNUnGauvMjP+f//v//F///d/yu+1a9dGp9OVcOmalZ9fPXz8RxHv6g1dN0GDPdaGo+3hx2t8/fVbvPjiixjNRnRO1jtSXn/9dWbPng1AREQEEydOVHejSlAV9mO5p6eCXbhwQRmSTw5O6pCM1ScZq08yVp9krD7JWH2SsfoqM+O33nqLc+fOsWjRIoASz+xoNBpCmj/CFV1b0tqcJK3FXNAarG04UTe3LkmnjwLQo0cPAKXgKToNIDU1VbVtKY2j7sdy/ZgQQgghhBB3wWw2s3PnTjIzM0u80d/Dw5dWrd5Cqz3H6VObyOy9EVr/BFoDrX078umAT7n0aiJjGA0nrMvs3bvXrp+i0/z8/FTbnupILm8rRWpqqnL6zt/fv1LXpbqSjNUnGatPMlafZKw+yVh9krH6KiJjs9mMwWDAxcUFjUZT6rwpKSksXryY+fPnc+bMGbv2xi3uJ8W/NlmhsbDoIBhq0K0btBodQUDz84zr+BxtAtso8x86dIguXboA1sERtmzZQvv27QH45ZdfGDJkiHJPz8WLF6ldu3a5tvFuVIX9WO7pEUIIIYQQohx2797N3Llz2bRpEwUFBQQEBDBmzBheeeUVGjZsqMxnsViIiopCr9fzww8/YDAYbPqpVSsQn+CHORdyCkvrw8r0vtdW8O+wkZQworWNfv368csvvyi/d+nShdzcXE6cOKFMmzhxIhEREXe5xY5Lih4hhBBCCCHKaObMmbz55psltvn4+LBp0yZatGjB0qVLiYiI4NSpU3bztWr1MBnOvUhqtwOa7bZONDnTzu1RXhswmqc7PIqb7vbP1UlOTqZfv35ER0eX2N6vXz82bNiAu7v7nW9gNSNFjxBCCCGEEGWwbt06hg0bpvweGBhIs2bNOHToEPn5+QDKpW6Fvxfy9fWnSZPnOX16Ijecgb83B8DJ7MKwhi/y36dmEORVt8zrlJ2dzddff01ERARxcXEAdOzYkcmTJzNu3DicnZ3LubXVgxQ9QgghhBBClEGPHj2UAQLee+893n77bbKysvjqq6/46KOPyMnJsVumdeteWCzhxFy4H7KDAWjcGGo+P5L2Lb3514B3aODdoELWLycnB61Wi6ura4X0Vx1I0VPBjh49qgzJV3gTmahYkrH6JGP1Scbqk4zVJxmrTzJWX1kzvnDhAsHB1qIlNDQUvV5PREQEq1atIi8vz2ZerdaZzp1fJj5+EmkaC/T+J7RcT//YU7z6QjADBoBGY7nt4AeOrirsx/KcHiGEEEIIIe5QSkqK8nNSUhIPPPCA3TxabQAm0xhMpg/ZH3cZen0A7b4DJzMAT87YyiOdJ/1v7upd8DgyKXpKUaNGDYxGIzqdxKQWyVh9krH6JGP1Scbqk4zVJxmr704ztlgsHDhwgDlz5ijTrl27pvzs5eVNmzZhxMc/T3JyB/C6CA9NRdNpERYnIwBDWwzlgz4f0K52O3U2popy1P1YLm8TQgghhBCVwmKxEB0dTXx8PDVq1KB79+54e3ur9no3btxg+fLlzJs3jz///NOuPTCwGcHBb3LkyEiMxhrWibpL8GpzqGG9t+eRZo/wQe8P6Fqvq2rrKUonl7cJIYQQQgiHsHXrVt566y0OH775LJsaNWoQFhbGxx9/XKbi5+TJk6xcuZKrV69Sq1YtRowYoTzkE+Dw4cPo9XqWL19OVlaWzbJubu7k5TUDPiA5+QmSkwHXDJzMezGbvwTjGlyPW+j8xP3MGjiLBxs+eLebLiqBnOkRQgghhBD31LJlyxgzZgy3+hjasWNHdu3ahZeXV6n9ZGRkMG7cONatW2fX1rNnTx5//HFWrVrFwYMH7dpbt+6Kr284hw6NJC/Pwzqx5mm472Xo+gusMMN562fSdRvW0adXn2o/SIGjkNHbhBBCCCFElXb58mWaNGmijI7WoUMHhg0bRmJiIsuWLVOGiH755Zf5/PPPb9lPQUEBffr04Y8//rjj1/b09KRjx1GkpIQTG9tJmd78gRNoH3qHWOf1WJysH41djrkwse5Epk6dStOmTcuzqUIlUvRUsAsXLig3ajVs2LBS16W6kozVJxmrTzJWn2SsPslYfZKx1Ycffsi7774LwJgxY1i6dKlyBiUmJobOnTuTm5uLp6cnSUlJ1KxZs8R+FixYwMSJEwHw8fFh0KBBHD58mFOnTtnN26pVRwIDwzl8eBQ3blj7c3G10DtsN1nt/s0fqZuUeR9s8CAvd3yZJ9s9iVarrdBtrw6qwn5cntpBTqWUIj09nWvXrpGenl7Zq1JtScbqk4zVJxmrTzJWn2SsPsnYaufOncrPH3zwgc0lY61atWLkyJEAZGVlsX///lv2o9frlZ+NRiMrVqwooeBpgk63iJiYQ0RFhXPjRk1CQmDOHEhMtHCh3Yv8kboJDRqGtxrOnhf28Ov4X3mm4zNS8NyCo+7HMpCBEEIIIYS4Z3Jzc5Wf69ata9der169EuctlJeXx5o1azh06JAyrejgBMHBIdSpM55Dh57FaAzGaASt1sJjw3JoPPRbPnxqDJ6uNQAn3u75Nr9f+J1Xe7xKiF9IBW2hqIrk8rZS5OfnY7FYn6zr6upaqetSXUnG6pOM1ScZq08yVp9krD7J2Gr06NEsW7YMgO+++47nnntOaTOZTLRt25aYmBjAerlby5YtAYiNjSUiIoKlS5faPFMHwM3NjR49niErayIHDtzPzYeEXoQa/2HyYme+T1hEak4qXw3+isldJ6u+ndVVVdiPZcjqCvZXPiDdK5Kx+iRj9UnG6pOM1ScZq08ytho/frxS9Lz88suYTCZGjBjBxYsXeffdd5WC5/7776dx48asWLECvV5PVFRUCb3pgH64uy8kMjIIAI0Gune/zp7YEdAjEk0n+DrG+h1/Y5/G+Lj53IvNrLYcdT+WMz1CCCGEEOKesVgsDB48mC1bttxyHicnJ5566il++eUXUlNTbdpcXV154IGnuHRpGKdODQGcAXB3z2LQoMvUCVpPRNqbGEOMyt3rnet2ZvoD0xneajg6J/nO39HJ6G1CCCGEEKLKu3HjBs888wybN2+2a3NycsJsNttNb9q0OS1bhnP8eBgJCX5FWnYBXwHrAIN10rNAC/BJ8WHl31YyoPkAecZONSJFTwXLzMxUrlm83cOxRPlIxuqTjNUnGatPMlafZKw+ydiWxWLh119/5bPPPmP//v0kJydTUFBgM4+zszM9e44Awtm9uxdGo7Vw8fGBsDAYOSadN1Y8we783fAtkGFdTlNbw6DBg1j52cpbDnktyqcq7MdyT08FO3fuHAaDAWdnZ9q3b1/Zq1MtScbqk4zVJxmrTzJWn2SsPsn4JoPBwMaNG9Hr9Wzbts2uvUmTZoSGTiImZhw7dwYo07t1gxdfhJ6DL7Ew+gsG79CTXjMdasLAdwbS9FxTPDw8ePjhhxk4cOC93KS/DEfdj6XoEUIIIYQQ90RCQgLz589n0aJFXL582aZNp9Px0ENP4OwcTlRUX86etX5r7+EBzz0H4eFA3cP8Z+9/mBSxEqPZCEBT36a8ct8rPN/xeeJj4pUP5EIUJUVPKWrXro3JZJKHU6lIMlafZKw+yVh9krH6JGP1/VUzNhqN/Pzzz+j1ejZv3kzxOyuCgxvRqdMkzpx5np076yjTQ0Nh8mRrwePtDdkF2dSd05sbBdbLmno27MmrPV5lSPMhaJ2smf5VM76XHDVjuadHCCGEEEJUuMTERBYsWMCCBQu4dOmSTZtWq6VXr8epUSOcXbv6k5Vl/czn6gpPPWUtdtp1zmbj6Q2MDB2pDELw+rbXScpKYmr3qXQJ6nLPt0lUDTKQgRBCCCGEqDQmk4ktW7ag1+vZtGmT3Shs9es3oFu3SSQkjOfQoSBlerNm1svXxo2DfJdLfLH/C/SH9KTnpbN73G56BvcEUG6gF39tMpCBEEIIIYS455KSkli0aBHz58/nwoULNm1OTk706vUoXl7hREU9wtq11suidDp44gnrwAR9+sCfVw/zj92fsurEKpv7dQovZwOk4BHlJkWPEEIIIYQoM7PZzPbt29Hr9WzYsAGTyWTTXq9ePbp3n8ClSy8QGdlAmR4cDJMmwfjxUKcOXMq8xMPfjmbX+V3KPA8FP8Sr3V/lseaPKffrCHE3pOgpxYkTJ5QRQNq0aVPZq1MtScbqk4zVJxmrTzJWn2SsvuqS8dWrV1mwYAFffPEFV65csWnTaDQ89NAj+Pm9yK+/DuaHH6wfNZ2c4LHHrGd1BgyAovfAB3gEkJiZiM5Jx9Ntnr6r+3WqS8ZVmaNmLEVPKYxGI0ajUU6lqkgyVp9krD7JWH2SsfokY/U5csZms5nIyEjmzZvHjz/+aHdWB8DTsxNNmiwkKqqDMi0oCCZMsP7X4H8ne67nXeerP75i2v3TcNG64KJ1YcWIFdT2qE0D7wZ2/ZaFI2fsKBw1Yyl6SuHq6oqTk5OM9a4iyVh9krH6JGP1Scbqk4zV54gZp6SksGTJEiIiIjhz5kwJc7gCQ4FZZGU14tgx69SBA61ndR57zHrvDoDBZGDewXm8H/U+ablpeLp48vf7/g5QYSOxOWLGjsZRM5bR24QQQgghhMJisRAVFYVer2ft2rUUFBSUMFcTfHw+JiPjSSyWws9rycBCgoO3c/bsDuVznMViYf2p9UzfPp24a3EAtA5ozdyBc+nftP892SZRvcjobUIIIYQQolzS0tJYunQpERERnDp1yq69efO2nD4dAswEQrh+3Tq9d2+YONHEZ5+NYP/+30hIgF9++YX+/ftzKOkQr217jaiEKAACPQL5oPcHvNDpBXRO8jFU3DuytwkhhBBC/EVZLBZ+//139Ho933//Pfn5+Tbt/v7+9Oo1joyMSfzySxPAOgJBzZoFTJzowqRJ0KIFgBaTaRJjx/4GwN69e+nfvz9v7XyLqIQo3HRuvNr9Vd548A28XL3u7UYKgRQ9QgghhBB/Oenp6Xz77bfo9XpOnjxp196jRy8aNAhn377h/PCDa5GW3YCelStfYPDgvjbLuLq6Wm/x0aA8lPTf/f9NbY/a/Kvvv+56kAIh7oYUPaVISkrCZDKh1WoJCgq6/QKizCRj9UnG6pOM1ScZq08yVl9lZ2yxWNi7dy96vZ5Vq1aRl5dn0+7r60vfvuO4cWMSO3e2ZM8e63QfHxg7FgIC1vJ//zcCgG+/NdsUPQaTgfd+eg/+BpyADh2sI7i1q92Ob4Z9c0+2Dyo/478CR81Yip5SpKSkKOOQO9Kb6kgkY/VJxuqTjNUnGatPMlZfZWWckZHBsmXL0Ov1HCscXq2Ibt0eoHHjcPbvf5IffnBXpvfoAeHh8NRTUKMGZGcPZPZsbzIyMli5ciUajYaJEyfyR8ofzDo8ixtNrTeW65rr6P9I5QxQIPux+hw1Yyl6hBBCCCGqGYvFwsGDB9Hr9axYsYKcnBybdm9vb/r2HUtOziR27gxl/37rdC8vGDPGWuy0bWvbp4eHB59++ikvvPACOMGKoytY8c0KaAS4AzlAFCyfvpwarjXuwVYKcedkyOpSZGdnY7FY0Gg0eHh4VOq6VFeSsfokY/VJxuqTjNUnGavvXmR848YNli9fjl6v58iRI3btXbp0p2nTcA4depozZ24WJt26WQudZ56B263aokWLmPLtFPJ7/2/QAyOwD3yP+6L/TM9TTz1VgVtUNrIfq68qZFye2kGKHiGEEEIIB3f48GH0ej3Lly8nKyvLpq1mzZr06TOa/PxwIiPbU/jYHU9PeO45a7HTseOt+xZzOPQAACAASURBVDaajfwc9zPert70atQLgLNXz9J1flcaZzamTV4bHu7yME899RTu7u637kiICiJFjxBCCCHEX0R2djYrV65Er9dz4MABu/YOHbrQtGk4f/45kvh4T2V6ly7WQmfkSGvhcyuXMi+x8MhC5h+eT2JmIr0b9SYyLFJpN1vMOGnks5q49+ThpEIIIYQQ1dyxY8fQ6/V89913ZGZm2rR5eHjQu/dzFBSEs2tXJ/780zq9Zk3rWZ2JE6FTp1v3bbaY2R6/nXmH5rHx1EZMFhMAfu5+dKnbBZPZhNbJ+qweKXiEI5GipxQ5OTnKNYs1asgNeWqQjNUnGatPMlafZKw+yVh9d5NxTk4Oq1evRq/Xs3fvXrv2tm070qxZOEePjmLTpprK9G7dYNIk6706pZ3VKTTqh1GsOrFK+b1nw5682OVFhrcajpvOrUzrXBlkP1afo2YsRU8p4uLilCH52rdvX9mrUy1JxuqTjNUnGatPMlafZKy+8mR88uRJ9Ho933zzDdevX7dpq1GjBg89NBKDIZyoqK5ER2sA61md0aOtxc7/HpejyMvLY82aNezatYu8/Dxcm7vyj2f/Qdtm1qHaHmv+GFvjtzK23VjCu4TTOqD13W/4PST7sfocNWMpeoQQQgghqpDCwkSv1/Pbb7/Ztbdq1ZaQkHCOHRvNli3eyvT77rt5VqekQbW2bdvG6DGjSdGmQAjQDjDD4nGLef2B1/n44495us3TDG81nBrOjvMNvhB3okxFz59//snbb79NdHQ0KSkpuLu706JFC1566SVGjx5tM+/hw4eZPn06e/fuRafT0bdvX2bPnk2TJk0qdAPU5OfnpzxxVqhDMlafZKw+yVh9krH6JGP13S7j2NhYIiIiWLp0KdeuXbNpc3Nz48EHn8FoDOfXX7sTE2M9q+PldfOszq2+dC8wFTBr3SzeW/YeljEWqFmkMR8sWguffPIJBoOBTz/9FBetS0VsbqWQ/Vh9jppxmUZv27VrFytXruTBBx+kXr16ZGdns2zZMlauXMmHH37IO++8A1j/aLt160aHDh2YMWMGeXl5vPvuu6Snp/Pnn38SEBBg06+M3iaEEEKI6iwlJYWrV6/i6+tLvXr1lOn5+fn8+OOPzJs3j6ioKLvlQkJa0axZONHRY0lM9FWmd+9uLXSeftr+rI7FYiElJ4VAj0DraxjzqfF+Dcw6MwBak5b7Au+jf8P+ZO7J5L///i8mk3XAgtOnTxMSElLRmy9Ehaq0Iau7d+9OUlISFy5cAODpp58mMjKS+Ph4vLy8AEhISCAkJISpU6cya9asu15xIYQQQoiqbteuXXz88cds27ZNmdalSxeee+45Ll26xJIlS0hNTbVZxtXVle7dn6SgIJy9ex/EYrGe1fHxgTFjYMIEaNfO9nVu5N9gx9kdbD6zmZ/jfqama01iXooBrFfqdHyzI1igsbEx0T9F4+F2s1J6//33+ec//wnAG2+8wcyZM1VIQoiKU2lDVvv7+5OcnAyA0Wjkp59+YuzYsUrBAxAcHEyfPn348ccf7YoeIYQQQojqZtGiRUyYMIHi3y8fPHiQgwcP2s3fuHFzmjYN5/jxMKKi/JTpPXtaz+qMGAFFn/15KvUUG09vZPOZzfya8CsGs0Fpc891Jzk7mUCPQKKjo2GLdfqLs160KXgAxo0bpxQ9x48fv8utFqJqKlfRYzabMZvNpKen8/3337N161a++OILAOLj48nNzaVd8a8ggHbt2rF9+3by8vJwc6v6wx4KIYQQQpTH8ePHmTRpklLweHt7k5+fT15ens18Wq2O7t2fJD8/nIMHe3HunPWsjr8/hIVZz+q0bAkZeRkcTY0hNDAUTxfr2NP//uPfLDyyUOmrqW9THg15lEEhg+gV3At3Z2uFpNPd/LiXlZVlt65FpxWdV4jqpFx79pQpU9Dr9QC4uLjw3//+l/DwcADS0tIAqFWrlt1ytWrVwmKxkJ6eTt26dUt9jRMnThAcHGxztig/P5/Y2FgAfH19adiwoc0ycXFx5OTkANgNoZeamsqlS5cAaNiwIb6+N6+LNZlMyjcbNWvWVAZbOHXqFAaDAaPRiEZjPQi1adPG5oBw/fp1EhISAAgKCrK7X+nYsWNYLBbc3d1p3ry5TdvFixeVGxVbtGhhUwhmZWURHx8PQGBgoF1eJ0+eVIYLbN3adjjJy5cvK2femjZtimeRgfnz8vI4deoUYH0/GjRoYLPs6dOnyc3NRaPR2BWuKSkpJCUlAdYzdz4+Pkqb0WjkxIkTAHh5edG4cWObZc+ePauchgwNDVVufjt16hR5eXkYjUZ0Oh316tXD39/fZtmjR48C1qE5i19nfOHCBdLT0wFo2bIlrq6uSltmZibnzp0DoHbt2tSpU8dm2RMnTmA0GnF1daVly5Y2bUlJSaSkpADQrFkzPIpcMJ2Tk0NcXBxgvZmvfv36NssWbpNWqyU0NNSmLTk5mcuXLwPQqFEjvL1vjrpTUFBATIz1UgRvb28aNWpks2x8fLzyD1Pbtm1tTuGmpaWRmJgIQP369fHzu/kNYWxsLFlZWWg0Gnx8fGjatKlNv+fPnycjIwOAVq1a4eJy8wbWjIwMzp8/D0DdunUJDAy0Wfb48eOYTCbc3Nxo0aKFTVtiYqJyPAgJCbEZyz87O5szZ84AEBAQQFBQkM2ysbGx5Ofno9PpaNOmjU3blStXuHr1KgCNGzeu1GNEoT///FM5TrRv316OEVTcMQIgPT2ds2fPYrFYcHNzs/u7kmOEVXmPEWazmejoaGUf9vDwsPl7lmOEVVmPEXPnzlXukynMypYz0A/4D7//fjObXgPTeeiZP/FvGUNcegxhO/dzbv05UvKs+1tkWCS9G/UG4H6/+4kJjOGB2g8wtvtYQoNu7k9ZWVkcPWn922jSpAkajQaLxcLChQuZOnUqly9fxmAwoNPpmDNnjrLc/fff75DHiMJbLAqnOzs7K/ucHCOs7vYYAeDp6YnRaFT+fWnRokWlHCMK/07LolxFz1tvvcWECRNITk5m48aNvPzyy2RnZzNt2jRlnsIioSSltRUyGo12p4MtFgsGg0FpL2mZwvbizGaz0mY2m+3aS+o3Ly8Pg8GgHCgK1+FW/RY9uBXt12Kx4OzsbNdmMpmUZcvT7622tWi/xbe1aIYl9VuYYUnv0Z32W5b3pjDjwm260/empH5L219ulaHRaCzx+s/S3ps76ddgMJTYVlq/hcvert+SlLZ/F36rWHS9b7VOxd1uWwsKCjCbzSWO4FIRGZaU0Z32ey+OEUXXqfD15RhRsceIwr4Kt7+goMCuXY4Rtv2W5E73b4vFYncmQo4RVneaYUJCAosXL2bx4sV282i1Wlq2HECBIZy4q20h4BSmgE34XDUyrFctwsN1HNX9SPhP4XDBfh2CagaRmZ+p/N63Xl/auVoLi6a+tl9oFV3fevXqMWjQIH7++WeSkpLo2LEjw4YNw8vLi+3bt7Nnzx7AOkLc888/T35+vsMdI4quk9lstlk3OUbY9luSO92/DQaDsn8UvkZlHSPKqlxFT8OGDZVvRwYPHgzAm2++SVhYmFIZFlZmRV27dk35tvm2K6bT2f3BaDQa5YNBSadfdTpdiR8cAJycnJS2knbOkvrVarWYTCY0Go2yTPF1KtpvSW+Ys7MzFoulxPXVarXKsuXpt+j/b9Vv8W0tmmFJ/RZmWNLB6k77Lct7o9VqlQLX2dn5jt+bkvotbX+5VYZF57nVtpan31sN5Vhav4XLltZvefbvwoyL9n+rdSrudtvq4uKCyWRSJUOz2Vzmv5t7fYwoumzhwVyOERV7jCjelxwjKv4YUbhs4YeL4n3LMcKqtAyNRiO///47a9as4ffff7f7QBZYuz41GvYgsY6ZE3XPgf8ocLn5TfXohheY0Ol5goKCMOa2oYlvE1oHtKaVfys88zxp4tmEVgGt6Bza+Y63tfgx4vPPP+fgwYMkJyeTkJDA3Llz7bbx888/JyAggMuXLzvcMaKwrTD7ousmx4ibbXf7b6CzszNGo9Fm/SrrGFFWFTJ62+LFixk/fjx79+6lc+fOeHl5ERYWxtdff20z3yOPPMLZs2c5ffq0zXQZvU0IIYQQjiYxMZGFCxeyYMEC5dIgW8HAK9C6Ljz9rG2TSQOpFjRpGn78vx8ZGjpU9fWNi4sjPDycyMhIm+kNGjTgk08+YeTIkaqvgxAVodJGb4uMjMTJyYkmTZqg0+kYMmQIa9eu5ZNPPqFmTesTsC5cuEBkZCRTp06tiJcUQgghhLjnTCYTW7duRa/X89NPP9ldChQYWB/3xl25mNUH84m/WSfG3aBGbjMGNBrC4+3a8/3Xq9i8fDOY4elnnr4nBQ9Y74vYuXMnJ06cYPfu3eTn59OyZUv69esnAxiIaq9MZ3omTZqEl5cX3bp1o3bt2qSmpvL999+zatUqXn/9dT755BPAeoNh165d6dSpk83DSa9duyYPJxVCCCGEw7l8+TILFy5k/vz5yk3zhZycnGjU8n6S63iQ1fV3cM+CtBCcvvoJsykC+AZIoUGDBiQlJSmXw7q4uLB37146dux47zdICAem+sNJC2/Mi4mJ4fr163h6etK+fXsmTJjA6NGjbeY9dOgQb7zxBnv27EGn09G3b19mz55tN3JUeVdcCCGEEEJNZrOZ7du3o9fr2bBhg92N2L5+dXBp1JarbRKgyc1L92samjKy5XjGhfRh2ONPKCOhFeXm5saKFSt44oknVN8OIaob1YsetVTVoic5OVm5Uav4EHuiYkjG6pOM1ScZq08yVp9kfNPVq1dZvHgx8+fP5+zZszZtGo2GZs0eISMjnOQe30PHZdbpRne6ej7Ju4+9wKDWPXHSWD/DpKWlsXDhQpYtW0ZSUhJeXl4MHjyYadOmERwcXOZ1y8jIIDMzE39/f9yLPqlUALIf3wtVIeNKu6enuiocw97Z2Vn+cFQiGatPMlafZKw+yVh9f/WMzWYzkZGR6PV61q1bZzcEr7OrB87NWpFz9f8RFzcQAI8zXniExjGh03imDx6Jt5u3Xb9+fn5Mnz6d6dOnc/ToUSXjshY869ev5z//+Q9RUVHW9XF25sknn2T69Ol06NChnFtd/fzV9+N7wVEzlqJHCCGEEH9ZKSkpLFmyhIiICOWBqDa8/KGzL4YH4zBoD8KeLbRN6sbrr/syfHhvPDz2qb6Ob731Fh9//LHNNIPBwIoVK/jhhx9YvXo1Q4fem8EQhHBUcnlbKTIyMrBYLGg0Gpsn3oqKIxmrTzJWn2SsPslYfdUp49TUVL755hsOHjwIQJcuXRg7diz+/v6A9Vkuu3fvZt68eaxdu9buobdObq6YW3hAr2tQ638TLRo4EwL7s3C9kEZUVBT33XdfmdarPBmvWbOGp556Svk9JCSE1q1b89tvvynPRHRzcyM2NrZcl8tVN9VpP66qqkLGck+PEEIIIf7SPv/8c15//XXy8/Ntpru5ufHPf/4TFxcXIiIiiI2NtVs2KKgvqWkvUDD5VfC5ChYN7imdGBg8mCdbh7Lks/ns2LEDgAcffJBff/1V9e3p3r07+/ZZzybNmTOHqVOnotFoyM3NJSwsjO+//x6A6dOnM2vWLNXXR4iqQIoeIYQQQvxlzZs3j8mTJ5dpGU0NJwh1w7L/INDKOrHr+2Dax6uP9WXO+9OUeQ0GA23btuXUqVMAxMTE0LJly4pafTtJSUnUq1cPgLZt23L06FGbJ9EnJycTFBSEyWQiJCTE7uHvQlRX5akdpKoQQgghhMPLzs5mxowZyu9hYWG8/vrrJT4qA4BgYARYXjVjedgJlyAnRo+GDh2mwoH34fBm3vr78zaLODs78+yzzyq/nzhxQo1NUaSnpys/d+zY0abgAQgMDKR+/fp28woh7MlABqUoeo2vi4tLJa5J9SUZq08yVp9krD7JWH2OnvGaNWvIyMgAoEmTJqxevZrc3FzbmdyADkBnoIY/nHqcpgeH87fHHibshBs+PjBgwAnAehFMZmYmfn5+Nl1kZmYqPzs7O5dpHcuace3atZWfd+/erQwTXOjs2bMkJCTYzftX5uj7sSNw1Iyl6ClFTEyMMiRf+/btK3t1qiXJWH2SsfokY/VJxupz5IwzMjJYtmyZ8nvxZ+v4+DzAdae+8NwiiHsSl22DmDDwYSa+r6P4aM8PPvgg27dvB+CTTz7hq6++Us6wXL16laVLlwKg0+no1q1bmdazrBn7+/szYMAAtm3bxvnz53nllVeYOXMmnp6eXLx4kbCwMGXeUaNGlWldqitH3o8dhaNmLJe3CSGEEMIhHTx4kAkTJhAUFKQUKgpXcGrWEojm+vXf4Nr78Pli2HKVV0fs5cvP7QsegAkTJihncObNm8cjjzzCggUL+PDDD+nYsaMyYtqIESOoU6eOylsIM2bMUIquL7/8kjp16hAaGkrjxo357bffAOuzgCZOnKj6ugjhyORMTym8vb3tTiWLiiUZq08yVp9krD7JWH13k3FqaiqLFi1i3bp1XL9+nbp16zJq1CieffZZatSoUaHreePGDVasWIFer+fw4cP2M9QD2nmAaTTmY+HUrx/K2LEmNm0awdGj6wHo3XvLLfsPCgris88+Y8qUKQBs27aNbdu22czToEED5syZU+Z1L0/Gffr0ISIigvDwcMxmM9nZ2Tb3Evn5+fHzzz8TEBBQ5vWpjuRYoT5HzVhGbxNCCCFEue3cuZPhw4cr99MU1aRJEzZv3kzz5s3v+nWOHDmCXq9n2bJlZGVl2Ta6AO00EPAgnH8FTvfHy+MPnn02l+bNL7B48QKOHz8OWJ9zExsbe9vPGMuXL+fNN9/kwoULNtMHDx7MvHnzaNCgwV1vU1kcO3aMzz//nPXr15ORkUG9evUYM2YMkydPvidnnISoSmTIaiGEEELcMydPnqRr167k5OQo09zd3W0GEGjYsCFHjx7Fx8enzP1nZ2ezcuVK9Ho9Bw4csGt3celCQe3WENQcToynaW0vEhLexWhcAlyzm9/NzY0dO3bwwAMP3NHrm0wmfvnlF+Li4nBzc6N37963Hg1OCHHPyJDVQgghhLhnZs6cqRQ8jzzyCHFxceTk5LB3715CQ0MBuHDhAgsXLixTv8eOHeOll14iKCiICRMm2BY8zoDPw8BBCgoO4HNjKS91eZtDUXWJi/Pg11+fonPnxnZ9du7cmV27dt1xwQOg1WoZMGAAL730Ei+88IIUPEI4MDnTI4QQQogyy8nJoVatWuTn51OrVi0uXLiAh4eH0h4TE0Pr1q0BCA0NJTo6utT+cnNzWb16NXq9nj179tjPUAdo0AYyX4f4Z+jX243x42HYMHBzs53VYrFw6NAhDh06BECXLl3o3LnzXW2vEKLqKE/tIAMZlCI+Pl4Zkk++3VGHZKw+yVh9krH6JGP1lTXjq1evkp+fD1hvti9a8AC0atWKkJAQ4uLiOH/+fIl9WCwWduzbwez/zuaPTX+QlVnsXh0dEOINzmPg7AyCk+vx/PMQFgaNGt163TQaDV26dKFLly633Y57SfZj9UnG6nPUjKXoKUVWVpbypgp1SMbqk4zVJxmrTzJWX1kzLlrkFH8uDljPBF2+fBkAT09PAMwWMyeST7Azbicrv1/J4Y2HKThXYLcstIXmdeHGdFzO9mXEcA3j50DfvuDIF4HIfqw+yVh9jpqxFD1CCCGEKLPAwEA6duzIkSNHOHLkCCtWrODZZ58FrGdwPvzwQ2WUtYEDB2Iym6jzZh1Sf02FP4HcYh066cA8CggHetDJU8P4v8OoUeDrey+3TAhRHck9PaUwm83Kz5W9LtWVZKw+yVh9krH6JGP1lSfjpUuXMm7cOOX3Pv36UKtTLX6/+DtXXK5Yv1pdCB999BHbtm1j165dJfTSApgMjMHPrxajR8Pzz4MDPej9jsl+rD7JWH1VIWMZsloIIYQQ94zFYmH8+PEsWbEEOgPdAa//NaYBh6DG0RrkZOcUW9IFeAoIR6N5kMGDNTz/PAwZAkZjDkeOHCEvL4+QkBAaNmx47zZICOEQZCADIYQQQtwzGo2GLpO7sLLxSvIseWACDgF7gRTrPDkULXiaA5OAMJo392f8eBgzBoKCrPcJvPXWP1m4cCHXr19Xlujfvz8ffvgh99133z3bLiFE9SNFjxBCCCHKxGwx46SxfqNax7MOedfy8IvxI29/HtnXs4vN7QwMB8Lx8OjNyJEaxo+HHj1Ao7HOkZmZycMPP8zBgwftXmv79u1ERUWxfv16HnnkEVW3SwhRfUnRU4q0tDTMZjNOTk74+flV9upUS5Kx+iRj9UnG6pOM1Xe7jC0WC9vitzF7z2webvww07pPY+PGjUTMi0CzXUOaJa3YEk2xntUZx0MPBTJ+PDz5JBQb2RqAGTNmKAWPi4sLI0aMoE6dOvz444+cP3+egoICRo4cSUJCAt7e3hW+7feK7Mfqk4zV56gZS9FTisTERGVIPkd6Ux2JZKw+yVh9krH6JGP13SrjAlMBK6JXMGfPHKKTo+E67P92P/89/l9lSOqbdMBQ4EXq1evLuHFOjBsHzZrd+nWvX7/OkiVLAKhRowb79u0jNDQUgJkzZzJs2DB+/vlnMjIy+Pbbb3n55ZcrcrPvKdmP1ScZq89RM5aiRwghhBB2ruddJ+JQBJ/t+4yk60lwBrSHtZhOm8i0ZJJJZpG5GwETcXEZz7BhdXj+eejXD7Ta27/O77//Tm6udfzqMWPGKAUPWM/6/Otf/+Lnn38GYMuWLQ5d9AghKo8UPaWoX7++cvpOqEMyVp9krD7JWH2SsfqKZ/za1tdYFLUIjoDTESfMGWZMmIosoQWGAOF07jyA8eOdePbZsj9TJzv75j1AjRs3tmtv1KhRifM6ItmP1ScZq89RM5aipxSOdMrOUUnG6pOM1ScZq08yVl9CQQK+br409GrIzz//zNmvz8I2wAJmzEXmbABMxM9vPGFh9Xj+eShycqbMihY169evZ/r06WgKRzj437RCJRVFjkT2Y/VJxupz1IzlOT1CCCHEX5DBZOD3i7+z8dRGNp7eSFxCHJ2udCLttzQSEhKKze0EDMbJKZzHHhvE+PFaBg8GZ+e7Xw+LxUKbNm2IiYkBYMqUKbz77rv4+fmxbt06wsPDuXbtGgC7d++mZ8+ed/+iQgiHJg8nFUIIIcQtWSwWVh5fycbTG9l8ZjPXc67DWazP1jkFNid0AAgCJtC8+QTCwxswejQEBlb8eq1du5YRI0bYTNPpdBiNRuX3gQMHsnnzZpuzQEKIvyYpeiqY2Xzz6F/Z61JdScbqk4zVJxmrr7plnJ6eTnR0tHKWw9/fX7XXupJ1hTqedZTf23zVhpPnTsIRrMXO9eJLaIBHcHefSFjYEF54QUfnzjefqaOWefPm8be//c2m0CnUt29f1q5d69DDVUP124+rIslYfVUhYyl6KtjRo0eVIfnat29fqetSXUnG6pOM1ScZq6+6ZHzp0iXefvttVq5cSX5+PgDOzs6MGDGCjz76qELuWTGajfxx8Q/lsrWLmRdJfT0VV60rkZGRTPt4GseijmE2Fj+tUwd4HmgB/EyDBkc4ePA3AtU4tXML586dQ6/XExkZSV5eHiEhIbzwwgsMHDiw0j8TVITqsh9XZZKx+qpCxuWpHWQgAyGEEOIeOHfuHD179uTSpUs20w0GAytXrmTHjh3s3r2bVq1albnvjLwMtsZvZcOpDWw+s5lrudeUNm2ulunvT2fr6q3ExcWVsHR/atYcxcCBoTRosJvvv3+HxMRELl6Ejz76iLlz55Z5fcqrcePGzJw58569nhDir0OKnlJ4enoqlaxQh2SsPslYfZKx+qpDxmFhYUrB4+3tzdNPP41Op2P16tWkpaWRmprKs88+y5EjR25730paThrOWme8XL0A0B/S88aON5R2Xzdfuhi6kLMnhwM7DvBFwRfFeggAngP8mTmzF9OnP8jZs/EYDIMZPrwb/fv3Jy8vjyVLljBr1ixcXV0rMIm/ruqwH1d1krH6HDVjubxNCCGEUNmRI0fo1KkTYB2ied++fcplY+np6TzwwAPK6GWRkZH07t1bWdZkNnEy5SR7Evfwx8U/2JO4h9Npp5k/ZD4TOk0AICYlhuGrh9OvTj/4E7av2cGp2NgS1qQPbdqEk5Cwk6ys7wgI8ODKlSt2/94OGzaMdevWAXD69GlCQkIqOBEhhCg/ubxNCCGEqIK2bt2q/Pzaa6/Z3Cfj6+vLjBkzCAsLU+bt3bs3Z66dYfKmyexL3MeNght2fZ65dgawjsh27fQ1uu7ryvzV85V7hW7yw8trHGFhk3jtteYEB0OdOq+QlZWD0eha4kMGi/YhX0AKIaoDKXqEEEIIlWVnZys/Fx2swGwxcyr1FCfdTsLjwJWb89Zyr8WOszsA8HTxpFu9bvSo34Me9XvQvX53tAVaPv/8c+bN03Py5Am713RyeogHHgjnnXeG06+fG0Vrl/vuu48NGzaQnp7OsmXLlIILICYmhm3btgEQGBhIcHBwRUYhhBCVQooeIYQQQmWNGjVSft6wYQN+7f2Yu3cuW+O3cj3vf2NGdwLO3Zy3lnstvhv2HaGBoYQGhqJ10mKxWNi3bx/TPp7GihWryM/PLfZKvtSrF8bkyZP4+99bUbNmyeszefJkNmzYAMCECRM4cOAA/fv3Jzo6mrlz52IymQCYOHEiOp18VBBCOD65p6cU58+fx2QyodVqbf7BEhVHMlafZKw+yVh9jp5xRkYG9erVIzsnG8KARjfbnHHGkGCAC6BN1HIp6hK1a9e2WT4zM5PvvvuOL7/Uc/LkMbv+XVzuZ9CgF/nXv56kTRv3266PxWJhzJgxLFu27JbztG3blt9++w0vL6873UxxG46+HzsCyVh9VSFjuaengmVkZDjk6BSORDJWn2SsPslYfY6ccYGpAG9vb6ZPn857770HGYAJOAaa8PVxcAAAIABJREFUwxoMlwzwv0fm/OO1f9gUPAcPHuSrr/QsX76c/PycYj1706LFGKZNC2f8+FDK8j2hRqNhyZIl1KtXj88//5zc3FybtmHDhhERESEFTwVz5P3YUUjG6nPUjKXoEUIIIVSQnJ3Ml/u/5KuDX7ErbBfvvPMO6enpzF08F7YDWWDh5sUWEyZMYObMmdy4cYPly1cwd66e2NjDdv16et7Hk0+G89FHz1C3bg1MJhMajQUofZjr4nQ6HbNmzWLGjBmsXbuWw4cP4+7uTp8+fXj00UfvcuuFEKJqkcvbSlFQUKD87OLiUolrUn1JxuqTjNUnGavPkTKOTY3l0z2f8s3Rb8g3WUdBe63Ha8weMBuwDl+t1+vZt28fFouFTp06ER4ejouLC3Pn6lm1ahn5+Vk2fWo0NenQ4Tneey+coUM7kJGRwddff83ChQs5c+YMOp2OXr168be//Y3HH3/8ts/5KYkjZeyoJGP1ScbqqwoZl6d2kKJHCCHEX8LFixe5du0atWvXpk6dOhXat8ViYXfCbubsmcPG0xuV6d3qdWNaj2kMazUMnZP9xRXZ2dksW7aK2bP1xMXtt2uvVaszY8aE8/77z+Lt7QlAQkIC/fr148yZMyWuy/jx45k/f778GyqEqLbknh4hhBCimFWrVjF79mwOHjyoTOvduzczZsxg4MCBFfIa+aZ8nl7zNMnZyWjQ8HiLx5l2/zQeaPBAiWddoqOj+de/9Pz447cUFGTatDk5eXD//aP48MNwevfubNNmMpkYOnSoUvBoNBo6dOhAamoqFy9eBGDRokWEhIQwY8aMCtk2IYSoDuRMjxBCiGrrzTffZObMmbds/+KLL3jppZfK3O+N/BusPL6SFzq9gJPG+m/Vv3//N/Hp8UztPpUW/i3slsnNzWXBgtV8+qme8+f32LUHBrbnxRdf5LXXRt1yAIFNmzbx2GOPAdCsWTM2btxIy5YtMZvNfPvtt4wbNw6AgIAALl68iKura5m3TQghqjq5vK2CZWRkYLFY0Gg0eHt7V+q6VFeSsfokY/VJxuorT8YbNmxg6NChyu8dOnSgU6dO/Prrr8TFxQHWMyUHDx6kU6dOpfZlsVg4f/08uxN2E5UQxdqYtWTkZ7B+5Hoeb/F4qcsePfr/2bvzuKiq/4/jr4FhRwUFFBdwQ9y11LKvWmqZZlZuaea+wKRWtusvzaWysrSsrMRdy8rCfcsll0rtm1maGy6IoLggCCr7LPf3x3y5MsyIslxZ+jwfDx8R59wz577ncuHMPffcY0yaFMGWLcswGlNsypydPejc+RmmTDHwn//cd9t7cQYPHsw333wDwNq1a3nySdvX7tevHz/++CMAmzdvplu3bvm2l5scx9qTjLUnGWuvNGQs09uK2dmzZ9Ul+Vq0aFHS3SmXJGPtScbak4y1V5iMP/nkE/Xrjz/+mJdeegmdTofFYuG1117jk08+QVEUPvvsM5YsWeKwjZNJJ5m2exq/xP7C+evnbcoaVGmA7hYrpmVmZjJ79krmzIkgPv5Xu/LAwKaMG2fAYBiEj4/PHe0PQEJCgvp1u3bt7Mrbt2+vDnquXLlyx+2CHMd3g2SsPclYe2U1Yxn0CCGEKHdu3LjBrl27AOs0sJwBD4CTkxPvvvsuCxYs4MaNG6xbtw6zxczhhMP8EvsLdX3r0qOBdQqZi5ML3x7+FgC9k5421dvwUPBDdK7TmYfrPqxObcvx3/+e4M0357F791LM5iSbMr3encce68eECQYeeOCBQq2wVqVKFfXr/fv3213J+eOPm4shVK5cucDtCyFEeSWDnnwEBgaqT5wV2pCMtScZa08y1l5BM05Nvbnkc6NGjewGGC5uLlRtVZUbxhskBydT5cMqXMu6BkDPhj3VQU9tn9rMeGQGrau3pm3Ntni6eNq9VlpaFm+/vZrFiyO4cmWXXXnNmg15+eXnGDZscJEHIk8//TTfffcdAK+99hqNGzcmKCgIRVFYs2aNWubr60vnzp0L1LYcx9qTjLUnGWuvrGYs9/QIIYQod7KysqhUqRJZWVn4+vpy7tw5vLy8ADCajfh/6M+17Gs221RwrUD7oPY8HvI4Y++7/eIGP/10milT5vPnn4uxWGynkjk7u/LUU30ZN85Ahw4dCnVVxxGTyUTTpk05ceIEYH3AaLt27bhy5QrHjh1T602ePJlp06YVy2sKIURpIwsZCCGEEP8zZMgQvv76a/CD5k81Z/Pbm6levTqnTp2i1RetuOF2A2KhS4MuvP/c+7So1sLhs3Ryu3LFyMSJa1mxIoLr17fblQcHN+CFF8IZOnQofn5+muzXyZMnefjhhzl//rzD8qeffppvv/0WvV4mcwghyicZ9AghhBD/s+LXFTz71bNYGlgA0H2po7prdeLj48ETyIAqlatw5MiRfB9WajbD8uUxzJgxn2PHFgGXbcr1ehd69erN6NEGOnbsWGxXdfKTkJDA7NmzWbhwobq4QZs2bXj++ecZNGiQ/P4UQpRrMugRQgjxr6YoCr/G/cr0X6ezNXrrzYJjwM9ArrUF/P392bhxI23atHHYVlSUicmTN7B+/VwyM7cCtr8ug4PrMnp0OMOHDycgIKDY9+VOWCwWrl27hqurqzp9TwghyjtZsrqYHTlyhOzsbFxdXWnatGlJd6dckoy1JxlrTzLW3p1kHH01mqFrhrLn3B4AnHXOPNvsWYaHDGeneSeRhyO5qr9KtWrVePbZZxk5cqTNamgAqakwd24cn322gHPnFgIXbMp1Oif0ej1OTjoqVvTC3d0dDw8PTfb5Tjg5OeHr61ssbclxrD3JWHuSsfbKasYy6MmH2WzGYrFgNptLuivllmSsPclYe5Kx9u4k46reVTl25Riuzq6MaDmCN9q9QR3fOgB0atqJt99+2+F2igK7dpmZPn0Tu3ZFYDZvBiw2dSpV8uHatRQUxYLRmA3A4cOHeemll5gzZw7btm2jdu3axbKvJUWOY+1JxtqTjLVXVjOWQU8+3N3dcXZ2xsXFpaS7Um5JxtqTjLUnGWvn5MmTLF++nKNHj+Lh4UHnzp1p3rw5RouR5f8sZ9PpTfzQ9wd0Oh3ert6s6LuCpgFNCawQeNu24+Lg88/jWbhwAcnJCwDbhQGcnZ3p0aMH9erV4+OPP1a/X6lSJQICAjh16hQAp0+fpkePHvz9999l+hiQ41h7krH2JGPtldWM5Z4eIYQQpU56ejrh4eEsX77ctkAPgT0C4T9wMf0iABuf3Uj3kO531G5GBqxcaWbWrK0cPBgBrCfvVZ1atWoxatQoRo4cSWBgIKGhoZw+fRqA9957j1deeQU3Nzf++ecf+vbtqw5+IiMj6dOnT5H2WwghxO3JQgZCCCHKPIvFwhNPPMGmTZtuftMNaAO0Bbyt3wrwCOD19q9jaGWggluFW7anKLB/P3z++UV+/HERWVnzgVibOk5OTnTv3h2DwcBjjz2mPnTvjz/+4P777wegU6dO7Nixw2a7rVu30rVrVwB69erFqlWrirLrQggh7oAsZCCEEKLM27Bhgzrg8fb2ZuzEsXxh/oJUU6q1QjKwBx6/53Fee+O1W7Zz+TIsW2ZhzpztxMVFAOsAk02d6tWrq1d1goKC7Nq4ePGi+nWnTp3syjt37uywrhBCiNJFBj1CCCFKlbnz5kIAkACLFy+mT58+rP9qPYqiMLb5WMb3GE/a9TRWHFvB5598brNUs9EImzbBV18lsG3bYiyWecAZm/Z1Oh1du3bFYDDQo0ePfB/imXtltIMHD9qV//333+rXPj4+hd9pIYQQmpJBTz7Onz+P2WzG2dmZmjVrlnR3yiXJWHuSsfYk4+Jx8cZFFvy1gK2Nt0IzqDi/Ir169UKn07Hk4SX4ufnhondhz+N7+O6770hPTyc6OprmzZtz9CgsWqSwaNFOUlIigNWA0ab9qlWrMnLkSMLCwu54pbW2bdtStWpVLl++zOrVq1m3bh1PPvkkACkpKbzyyitq3d69exdTEiVDjmPtScbak4y1V1YzLtBNMzt27GDEiBE0bNgQLy8vatSowVNPPcWBAwfs6v7111888sgjeHt74+PjQ+/evTlz5oyDVkuvpKQkrly5QlJS0u0ri0KRjLUnGWtPMi48RVHYdXYX/X7sR9DsICbvmozZywxmyK6UjclknY7mmulKUmISSUlJZGRk/G/rSkRG+nHvvYk0bTqTjz8OJSXlYeAHcg94unTpQmRkJOfOnWP69OkFWlra1dWVF198Ue3rU089RZs2bejVqxdBQUH89ttvgHVANWDAgGJIpOTIcaw9yVh7krH2ymrGBbrS89VXX5GUlMS4ceNo3LgxV65cYdasWbRt25YtW7aoc5ujoqLo2LEjLVu25IcffiAzM5PJkyfToUMHDh48iL+/vyY7I4QQouzYE7eHsPVhHE88rn6vfVB7zPvM7Fu0j0xzJgsWLGDs2LFqeUxMLOvXpwNfAwG8885rwEog26Ztf39/hg8fTlhYGPXr1y9SP9944w3+/vtvIiMjAfjzzz/5888/1fJKlSqxdu1avL29i/Q6QgghtFOg1dsSEhIICAiw+V5qair169enadOmbN++HYB+/fqxc+dOoqOjqVixIgCxsbGEhITw8ssvM2PGDJs2Suvqbenp6SiKgk6nw9PTs0T7Ul5JxtqTjLUnGd+5TFMm7np3AKKvRhPyeQieLp4Mbj6Y0W1G07xqc3755RceeughwLqq2rBhw2jatAerVlVkzx5/FGUHEAFE2bXfqVMnDAYDPXv2xM3Nrdj6bTabWbRoEZ9//jmHDx8GwNPTk4EDBzJ+/Hjq1atXbK9VUuQ41p5krD3JWHulIeMSW7K6c+fOxMfHc+LECUwmExUrVmTIkCHMnTvXpl7Xrl2JiYnh5MmTRe64EEKIsiHLlEXksUi+/PNLqnpVZVX/m8s6r41aS6c6najoVtFmm9GjRzN37hKgFzAc8MQ60PkRyLSpW6VKFYYNG0Z4eDgNGjTQdF8UReHKlStkZGRQtWpV3N3dNX09IYQQ9kpkyepr167x119/qVPboqOjycjIoHnz5nZ1mzdvzrZt28jMzLztL4qjR48SHBysXikCyMrKIirK+smer6+v3fKip06dIj09HYAWLVrYlCUmJhIfHw9AUFCQzYo8ZrOZI0eOANbA6tata7NtTEwM169fB6BJkyY2K/2kpKQQG2t93kP16tXtpu79888/KIqCh4eH3S/jc+fOcfXqVQBCQ0NtMklNTSU6OhqAgIAAAgNtny5+7NgxjEYjLi4uNG7c2Kbs4sWLJCQkAFCvXj2bKReZmZmcOHECgMqVK1OrVi2bbU+ePElGRgY6nc7uPbxy5QoXLlwAIDg42GalIpPJxNGjRwGoWLEiderUsdn2zJkz6sHZtGlT9RkYAMnJycTFxQFQo0YN/Pz8bLY9dOgQYP1UNSQkxKYsLi6O5ORkABo2bGjzye7169eJiYkBrPPtq1WrZrPt0aNHMZlMuLm50bBhQ5uyCxcucOXKFQDq169vszpUenq6+jDCKlWq2N3Ed+LECTIzM3F2dqZp06Y2ZQkJCeqytrVr16ZSpUpqWXZ2NsePW6f5VKpUye6+g+joaFJTrUv2NmvWzOYHOykpifPnrU+Tr1mzJlWqVFHLLBaL+sm0t7e33SfSZ8+e5dq1awA0atQIV1dXtezatWucPXsWgMDAQLsrvUeOHMFsNuPu7k5oaKhN2fnz59X5viEhITafBqWlpakPe/T396d69eo220ZFRZGVlYVer6dJkyY2ZZcuXeLy5csA1KlTR84RlL5zhNFoZP/+/SxYvYBjbsfIbpKNxcP6AFA3JzcORh2kZcOWADzV8Cng5jlCUSA7uyk63Ze4uU0mKysSeAU4Ql4dOnTAYDAQEhKCm5sbOp3Ork5xnyN0Oh0BAQFcuHBBzUnOEWcBOUfIOcJK/o6wkr8jrLQ6R+T8nBZEkQc9Y8eOJS0tjYkTJwKonatcubJd3cqVK6MoCsnJyXY/fHmZTCbyXoRSFAWj0aiWO9ompzwvi8WillksFrvyO203b59yt2s2mx22qygKLi4udmVms7lI7d5qX3O3m3dfc2foqN2cfXX0x8Odtlta3pvb7avRaMRkMjn8VCC/9+ZO2jUajQ7L8ms3Z9vbtevInWboaPvcfcrrdvuanZ2NxWKx+eXjqN3CZugoozttt7Qch3fzHHHw4EG2bt1Keno6zs7OPPjggw6XUdbyHHHlyhVGzhhJXK04aJer8BpwALrV6oank/10iCtXLPz4oy9r11bh9Ok/sV7V+R7IsKlXoUIFRowYQXh4uPqH2p9//qn+PN+qvzn7VpB9lXOEfZ/yknOEbZ/upF35O0L+jpBzxE1FOUcUVJEGPW+99RbLly/n888/p1WrVjZljg72OylTO6bX29XT6XTqD72j5yro9XqHJwWwzgvPKXN0cDpqNy0tTQ01pzxvn3K36+gNc3FxQVEUh/11dnYuUru5/3urdvPua+4MHbWbk6Gj9+hO2y3Ie5OWlkZ2drb6ft/pe+Oo3fyOl1tlmLvOrfa1MO3mLOVYkHZzts2v3cIc32lpaWp2t9vXvG63r66urpjNZk0ytFgsBf65udvniLxtO+rT3ThHxMfHM3DgQH755RebOl5eXoSFhfHxxx/bbH+7n2VFUYiLi+Pq1av4+/vbfELp6ByhKApmxYyTkxMTJ04kTomD9oAF3M674XzQmfSD6WCBtaylSXATpk+fjtkM27fDokWwerU/RuO3WAc7h+yyaNGiBX369GHAgAF2CxPIOeJmWVGO75w5+mlpaTbvuZwjrIpyjshpV1EU0tPT0ev1asbyd4R9u0V5b4xGI6mpqeh0OjVjOUfcLCvq8e3i4qL+fZyTcUmdIwqq0Pf0TJs2jalTpzJ9+nTefPNN9fsnTpygYcOGfPHFF4wZM8Zmm9dff51Zs2aRnp5ucwm2tN7Tc+jQIfXSb97L3KJ4SMbak4y1V5IZnz9/nrZt26rTbhwZP348H3zwwW3bSk5O5r333mPhwoXqdA8vLy8GDhzI5MmTqVGjhk39CzcusOzQMhb9vYhXH3iVpllNad++PbiDV0cvlry0hD6P9sFoNDJ37lzGjRsHQOXKrTEY9vHNN3rOncu5qvMdkGbTfqVKlRg8eDDh4eHqp5ByHGtHzhXak4y1JxlrrzRkfNfu6ckZ8EydOtVmwAPWuZ8eHh7q3L/cDh8+TP369eXGTyGEKCZvvvmmOuCpXbs2r7zyCsHBwaxdu5bFixejKAozZsxg0KBBdnPDc0tISKBjx47qfPAcaWlpzJs3j/Xr17N7926C6waz4eQGFv29iM2nN2NRrNMgvj/6PY3+28i6USZ88cwX9O3aF7B+khcW9iLLl8MffzTh6tX7ef/9RVgHO3/Z9eW+++7jueeeo1+/fuontTlz8oUQQojCKPCg55133mHq1KlMmjSJKVOm2Deo1/PEE0+watUqPvzwQypUqABYbxTbuXMnL7/8ctF7fZf4+/vf8vKiKB6SsfYkY+2VVMZJSUmsWLECAB8fH/744w/1Jugnn3ySunXrMmnSJADmzp3LnDlzbtlWWFiYOuBxdXWlR48euLm5sX79elJTU7l48SLtprVDaaGQmJ6obtc+qD0jWo7g6SZPM2j1IPX7Dz/8MIoCBw5Yp699+y1cu/Yg1oFOL8D+E7qBAwdiMBho2bKlXf/kONaeZKw9yVh7krH2ymrGBZreNmvWLF577TW6devmcMDTtm1bwLqqSps2bbj33nuZMGGC+nDSq1evOnw4aWmd3iaEEKXZjh07ePjhhwHrEs9ffvmlTfm1a9fUhQzatGnDH3/84bCd6Oho9T4Zf39/9u7dS/369UnLTiMtJY0HH3zQulrTs0ADCPQOZGiLoQy/ZzgNqtxcTWrYsGEsXboU8OW5535j797G/PNPGrAC62DH/vVbtWqFwWBgwIAB8nBPIYQQd0Tz6W3r168H4KeffuKnn36yK88ZPzVs2JBdu3Yxfvx4+vbti16vp3PnzsycOdNuwCOEEKJwcn9mdasbdHM4Wo0nx8aNG9WvX3rpJVK9UxmyegiRxyI5PvY4b731FoMGDYJfoFfNXvzw1g/onWxfz2KB2rVHAo8CvZk79xTwPPA1cN3uNQcPHsyLL75I69at73R3hRBCiEIr0KBn165dd1y3VatWbN++vaD9EUKIf51Lly6xbt06kpKSCAgI4KmnnrJ7zoQjOc+qMJvNrFixgnfffdfmmSQLFixQv77nnntu2Y76aVl9WOG2gokRE9Wy9SfX859G/7H+z3nwS/azGfCcPw9LllinsMXEtAZigIeBvbd8vZEjR9r0TQghhNBakZ/TI4QQonDS0tIYN24cS5cutXl+xNixYxk1ahSzZs2yeVBeXlWrVqVnz56sXLmShIQE2rdvz4QJE6hduzZr1qxh9uzZal2DweCwjSxTFjGVYmAMEAD/pP6Ds86Zp5s8zcttX6ZN9Ta8//77av2aNWtiNMKGDbBgAfz0E1gsx7FOX1sGJOe7zw8++CCfffbZncQjhBBCFJtCL1ldnErrPT1RUVHqknx5n7QriodkrD3JWHuFyTg7O5uuXbvmewX98ccfZ+3atfneLHr69Gnuv/9+9ansjoSFhTFv3jyHZckZydT6pBZpxjTIAv6Gdx5/h9fDXkev1xMZGcnIkSNJS0sDQgkL28fatb4kJGQCK7EOdn61a9fX11d9DhdYn74+ZswYXnzxxUKt4CnHsfYkY+1JxtqTjLVXGjIuzNhBVgrIR1ZWlvpPaEMy1p5krL3CZLxgwQJ1wOPl5cX48eNZuXIlr7zyijoo2LhxI999912+7dSvX59du3bRpEkTuzK9Xs+rr77KV199pX4v+mo0H+35SL0fyNfDlzc7vMkjlkfgE+AneOuFt6hSpQpVqlThmWdGkJbWF/gFiGL+/CskJLyGTlcTGETuAY+bmxuDBw/mt99+IykpiZSUFE6cOEFMTAxnzpzhjTfeKPQjC+Q41p5krD3JWHuSsfbKasYyvS0fer3+lk9BFsVDMtaeZKy9wmSce6W1TZs28eCDDwLQu3dvOnfuTI8ePdR6gwYNcthGjmbNmnH48GF27NjBli1bSEtLo27dugwcOJBq1aoB8Pv535m5dyaro1ZjUSz8p9Z/aBfUDoA3O7zJhHYTGH1ptHpFKC2tETAKGAC4A6uBzsBOAHLPEWjYsCEGg4EhQ4ZQuXJl9fseHh40aHBzdbeikONYe5Kx9iRj7UnG2iurGcv0NiGEuMtSU1PVZ5jde++9HDhwwKZcURQaNGjA6dOncXJywmg0Fup8aLaYWXdiHTP3zWTvuZsLC3Sr343pnadzb+C9NvWTk2HatNMsXepCSkowEA3Mw8lpERZLok1dV1dX+vbti8FgoEOHDuh0ugL3TwghhCgMzZesFkIIUXRms1n92tF0L51Oh4eHB2A9sRfms6mzKWfp8nUXTl89DYCrsysDmw3klQdeoWlAU7WeosAvv1gXJYiMhMzMYGAtTk6jsFi2/68PN9sNCQkhPDycYcOG3dEKc0IIIURpIIMeIYS4yypWrEhwcDCxsbHs27ePY8eO0bhxY7X8jz/+4PDhw8DNZakLqlbFWlgUC77uvoxuPZrn73uewAqBanlCAixdah3snDwJcBaYj16/CJPpks1Ax8XFhV69emEwGOjUqZNc1RFCCFHmyKBHCCHuMp1OR3h4OBMnTkRRFLp06cLUqVO577772LNnD9OmTVPr3mqp6by2nN7CnP1zWNlvJa7Orjg7ObO6/2rq+dbDy9ULALMZtm+H+fNh7Vr+t0z2BpydIzCbtwAKuVbOpm7duoSHhzN8+HACAgKKMQEhhBDi7pJ7evJx6dIlzGYzzs7O6s3AonhJxtqTjLVXmIxv3LhB27ZtOXbs2C3rtGrVil9//VWd6uZIbEosL295mdVRqwH4+NGPefmBl23qnDsHixfDwoUQFwcQByzAxWUhRuMFm7rOzs707NkTg8HAww8/XOLn4RxyHGtPMtaeZKw9yVh7pSFjuaenmF2+fFldh1x+cLQhGWtPMtZeYTKuUKECP//8M8888wy7d++2K+/atSvLly+/5YAn05TJzL0zee/X98gwZeCsc+aF+15gxD0jADAaYeNG61Ud6wNEzcBm9PoIzOZNKIoFo/Fme8HBwYSFhTFixAgCAwMdvmZJkuNYe5Kx9iRj7UnG2iurGcugRwghSki1atXYtWsX+/fvJzIykqSkJPz9/enfvz8tW7a85XabTm3ixc0vEp0cDcCDwQ/yRfcvaBrQlOho+GABLFkCly4BxAMLcXNbQFbWOZvpa05OTjzxxBMYDAYeffTRQt07JIQQQpQFMr0tH9evX0dRFHQ6HRUrVizRvpRXkrH2JGPt3c2MFUWh6zdd2XZmG4Hegcx6dBa9GzzDunU6IiLg558BzMBWXF0jMBo3oChmmzZq1qxJWFgYI0eOpEaNGpr2t7jIcaw9yVh7krH2JGPtlYaMCzN2kEGPEEKUchnGDIwWIxXdrL9cTiSeYOHfCxlQ4y2+X1qBxYvhyhWAi8Ai3N3nk5kZa9OGTqeje/fuPPfcczz22GNyVUcIIUSZJff0CCFEOaIoCutPrueln16ia72ufNXjK7Ky4ODPofwZ8SEf7QSwAD/j7h5BdvZaLBYTmZk326hevTojR45k1KhRBAUFldCeCCGEECVLBj1CCFEKnb56mhc3v8jm05sBWB+1GdfdqXy7xJvERIAEYDGenvNITz9jM9DR6XR07doVg8FAjx490OvlVC+EEOLfTX4T5iMrK0uds+jm5lbS3SmXJGPtScbaK86M043pvPfre3y09yOyzdk440KN2FeJWz6Rz7K9gB14eESQlbUai8VIevrNbatWrape1alTp07RdqqUkeNYe5Kx9iRj7UnG2iurGcsBoK8eAAAgAElEQVSgJx9RUVHqknwtWrQo6e6US5Kx9iRj7RVXxn9e+JM+P/Qh7locAC6xj2Jc9xlxSVXQ6SLw9IogLe0UGRm22z3yyCMYDAaeeuopXFxcirIrpZYcx9qTjLUnGWtPMtZeWc1YBj1CCFEKZGbCn9trcyExFdKC4KePMUb54eHxNtnOkZjN2aSl3azv7+/P8OHDCQsLo379+iXXcSGEEKIMkEFPPnx9fTGZTDIfXkOSsfYkY+0VNmOzxcy8XZs4vfEJliyBq1f9IPB7SPgbb4+3SOW43VWdTp06YTAY6NmzZ5maVlBUchxrTzLWnmSsPclYe2U1Y1myWggh7rKsLPjs+yO8888oblT8L3wfCVHV8PSMIDv7R0ymTJv6lStXZtiwYYSHhxMaGlpCvRZCCCFKB1myWgghSrHoaPhyXiZzj75H+r0fgIsR9rjhfuklMjlvsygBQIcOHTAYDPTp0wd3d/eS6bQQQghRDsigRwghNGQ0wrp1EBEB2078Ck+MgsCTsB50R5xRTFlkcl6t7+Pjw9ChQwkPD6dx48Yl2HMhhBCi/JBBjxBCaCA2FubPh4UL4dIloN2b0Ox9iAQuW+somNX6DzzwAAaDgX79+uHh4VEifRZCCCHKKxn05OPUqVPqjVohISEl3Z1ySTLWnmSsvZyMQc/JkyFERMBPP4H1jskDeHhEYPzja0xG2+0qVqzI4MGDMRgMNGvWrAR6XnbIcaw9yVh7krH2JGPtldWMZdCTj/T0dHUdcqENyVh7krH2YmKMREb6sHatHwkJAKng9hUenvPJSLZ/rs59992HwWCgf//+eHl5lUSXyxw5jrUnGWtPMtaeZKy9spqxDHqEEKIQLBbYvNnMe+9dZd++hiiKE3AQN/e5mCxLMWdlkpF1s763tzeDBg3CYDDQsmXLEuu3EEII8W8kS1YLIUQBJCTA4sUwc+YNEhMrAGnACuAjIMqufpPmTRj3/DgGDBiAt7f3Xe6tEEIIUf7IktVCCKEBRYFffoG5c2HlSuuKbBALfAZ8Ddg+VwcXaPNoGz6f/Dn333f/Xe+vEEIIIWzJoEcIIW4hJQWWLbMOdo4fB8gAfgRmAoftN6gKBAEn4ZHmj8iARwghhCglZHqbEELksX+/daDz3Xf8bxGC4+j1ETg7LyMrK9mmroeHB7Xb1eZC6AUmPDaBST0nYTaZ8fPz4/z587i5uZXIPgghhBDllUxvK2aJiYlYLBacnJzw8/Mr6e6US5Kx9iTjO5OWZh3kzJ0LBw4AZAEr8fSMID39F0wmMJlybeACH07/kLCwMM6lnMPFyQU/Tz/2P7mfVatWkZiYyLFjx7jnnntKZofKGTmOtScZa08y1p5krL2ymrEMevIRHx+vLslXlt7UskQy1p5knL8jRyAiwjqN7fp1gJM4Oc3DxWUJWVlJpKfnquwMNAGagutJV1599VWcnJyIjY0l1ZhKlkuWTcZZWVmI4iHHsfYkY+1JxtqTjLVXVjOW+WNCiH+drCxYutRImzYZNGsGc+Zkc/36CtzdOwOhWCyzyMpKurlBFdB109H1q660at4KVkD2n9msX7/ept2MjAzWrFkDgF6vp379+ndxr4QQQghxK3KlJx9BQUHq5TuhDclYe6Uh46ysLFauXMnmzZtJS0sjODiYoUOH3vXn1Zw9C7Nm3WDhQsjIqADEARHAPOAambkWYXN1dcW1qSsBDwUwtu9YBjYfSFXvqqzxX0Ovb3oBMGLECD744APat29PbGwsH3zwAQnWp5PSs2fPMvUJWGlXGo7j8k4y1p5krD3JWHtlNWNZyEAIoal9+/bx9NNPEx8fb1fWt29flixZgpeXl2avbzbDTz/Bl1/C5s0KimIC1mFdbvoXu/p169Vl9HOjGTZsGHiCn6dfnvbMdOnShZ07d97yNStUqMDvv/9O48aNi3VfhBBCCFG4sYMMeoQQmjl69Cht27YlNTX1lnUee+wxNmzYUOw/7wkJsHCh9X6d2FiAs8B84CvAdgU2nICGgD/0D+nP9/O/z7ft69evM2DAADZt2mRXFhgYyMqVK3nggQeKYzeEEEIIkYcMeoQQpUrv3r1ZvXo1AO3atePtt9+mXr16rF+/nokTJ3LdunIAmzdvplu3bkV+PUWB336zXtWxPkTUBGxAr4/AZNoC5Dnd+UKNjjV48rEnWfp/S0lPSsfV1ZVz584REBBwm9dS2L9/P0uXLiU2NpYKFSrQvXt3nn76adzd3Yu8L0IIIYRwTAY9xcxsNqtfOzs7l2BPyi/JWHsllXFCQgLVq1fHbDZTrVo1oqOj8fT0VMu///57BgwYAECfPn2IjIws9Gtdvw5ffw1ffQVHjwKcAxbg4hqBMfuyXX3XJq70GtSLScMn0bRqUwBeffVVPv74YwCWLl3KkCFD7vj15TjWnmSsPclYe5Kx9iRj7ZWGjOU5PcXsyJEj6pJ8LVq0KOnulEuSsfZKKuOTJ0+qJ8bevXvbDHjAej/PsGHDyMrK4vjx44V6jUOHrAOdb76BtDQzsBknlzlYTFtBUTBm36zr6elJ+v/Wnz68+jANQhrYtNW8eXP165SUlAL1Q45j7UnG2pOMtScZa08y1l5ZzVgGPUIITbi4uKhfJycn25WnpqZiNBrt6t5OZiZERlqnsO3bBxAPLMDZbQ7mrEQsxlyVdRBwTwAjw0aSHpXOp59+CsDOHTvtBj0///yz+nX16tXvuD9CCCGEKP1k0JOPChUqYDKZ0OslJq1IxtorqYybNWtGpUqVuHbtGqtWreLkyZM0aHBzoDFz5kwsFgsAHTp0uG17MTHWRQkWLoTERAuwFZ0uAliPopgx53oOqIuvC516d+K9196jVcNWABw4cEAd9EyaNImQkBA6deqE2Wxm0aJFfPPNNwD4+PjQvXv3Au2rHMfak4y1JxlrTzLWnmSsvbKasdzTI4TQzMsvv8zs2bMBqFSpEuHh4epCBhs3bgRAp9Nx5MgRh8s7m82wZYv1qs6mTaAol8DzA7AsgcxrNnV1Oh112tRh3PPjGDNgjMOTcffu3dm8ebP6/zVq1CAjI4OrV6+q33vnnXeYNGlScey+EEIIITQgCxkIIUqVa9eu0aFDBw4fPnzLOu+++y4TJ060+V5iIixaBHPnQkyMGXwWgn42XD0OFtvtdTod3bp1Y+7cuQQFBeXbn5SUFLp3784+67w4O2FhYcydO1fOPUIIIUQpVpixg/xmF0JoplKlSuzatYtBgwbZXXmpUaMG8+fPVwc8igK//w5DhkDNmjB+fAIxSWOgkgekGCAxz4CnAqC3Lh29efNm1q5de9v++Pj4sHv3bpYuXUr79u3x9fXF39+fnj17sm3bNiIiImTAI4QQQpRDcqVHCHFXXLx4kR07dpCamkpwcDCPPPIIer2e9HT49lv44kuFg/GHwPw7JO1Cp1uFohhtG9FDrVq1mDJxCnXr1mXJkiUsW7YMAHd3d+Lj46lcuXIJ7J0QQggh7haZ3lbMYmJi1Bu16tSpU6J9Ka8kY+2V1oxPnICv5ios3HCQ1GrLQPkGohIhyUFlHaBAmzZt2Ldvn81zAUaNGsXChQsB+PTTT3nxxRfvzg7kUlozLk8kY+1JxtqTjLUnGWuvNGQsz+kpZtevX1fXIRfakIy1V5oyNplg/Xr4YOnf/HFjBfh8Ax7xsA8w29b18/NjxIgRuLi4MH36dMA6wMn7ILTw8HB10PP333/fjd2wU5oyLq8kY+1JxtqTjLUnGWuvrGYsgx4hhOYuXYL5861LTsfHJ0ObfhBzGhLt63bs2BGDwUCvXr1wc3Pjs88+U8tMJpNd/dzf0+l0mvRfCCGEEGWbTG/Lh8lkQlEUdDpdmVuLvKyQjLVXUhkrCuzZA198AT/s+QNLfDpYFgM/AJk2dStXrsywYcMIDw8nNDTUpuz333/ngQceAKB58+bs378fV1fX/72GwrPPPsv3338PwNy5czEYDJrvW15yHGtPMtaeZKw9yVh7krH2SkPGck+PEKLEpabC8uXWZ+v8c/Is1BsIV/ZCgn3dDh06YDAY6NOnD+7u7g7bUxSFe+65h0OHDgHQqlUrnn/+eby8vFiyZAmbNm0CrOeM+Ph4KlSooNWuCSGEEKIUkEGPEKLEREVZBzpLlijcuPFfqPw6XP8N8sxI8/HxYciQIRgMBocPJHXkv//9L506dSIjI+OWdZYuXcqQIUOKsgtCCCGEKANk0COE0MTVq1dJTEykSpUqVKlSRf2+yQTr1lkHOz//fANYDvpPwRRl18YDDzyAwWDg6aefxtPTs8B92LdvHyNHjuT48eM2369WrRqzZ8+mf//+BW5TCCHKi4yMDK5evYrFYrl9ZSHKAE9PT3x8fOwWMAIZ9BS7lJQULBYLTk5O+Pj4lGhfyivJWHtFyXjbtm18+OGHbN++Xf1e586dCQt7i9OnOxIRAefPHwAigG+BNJvt3b3cGT50OKOfG02zZs2KvC+KorB792727NmDyWSiefPm9OjRo8RXkJHjWHuSsfYkY+1plbHZbCY+Pp7AwMASPx+WtNyL28g9Pdq4GxkrikJqairJycnUqFHDbuAjS1YXs9jYWHVJPvkFoA3JWHuFzfjTTz/lpZdeyvPdduzYMYodO5oDC4C5wAG7bX3r+TJh3ATGjhiLl5dXUbpvQ6fT0bFjRzp27FhsbRYHOY61JxlrTzLWnlYZJyUl4efn968f8ABkZ2eX+E325d3dyFin06n36KakpNjMMiksORqEEHb27t2ba8DjiZ/fS5hM4aSkpGC9qmMAbD9h8fb2ZuDAgXR/pjtPdnzyLvdYCCH+vbKysvD39y/pbghR7Ly9vTl//rwMerRWvXp1zGazw7mEonhIxtorTMazZ88GQoAxuLoOJjFxHdAf+K995UB448U3mDR20r925TQ5jrUnGWtPMtaelhnLc8qs5GqX9u5mxsV5XMugJx/yqYn2JGPtFSRjsxnWr7cQGRkGBAIRZGfXA67ZVtQDzYFW0PE/HRn5xMh/7YAH5Di+GyRj7UnG2pOMtSeDHu2V1Yxl0COEIDERFi6EL77I4Ny5H7FOYdtrV88n2IeUJinWAY8J2ALrZq37Vw94hBBCCFH6yaBHiH+xP/6AL76A776LwmiMAJYCyTZ1PDw86N+/P/uq7uOE+wmcnJxwOuCEaauJCi4VinWhAiGEEEIILRR4TegbN27wxhtv8Oijj+Lv749Op2Pq1KkO6/7111888sgjeHt74+PjQ+/evTlz5kxR+yyEKILMTFi6FFq3zuL++79l2bKHMBobAbOxGfDoAR106NCB9957j7G9xtIioAXtjrXDtM4EmTBw4MASX1peCCFE+bVkyRJ0Op36T6/XExgYyDPPPMOpU6cAWLBggU2dW/2rX7++2u7mzZvp0qULgYGBuLm5Ub16dTp16sRHH31UUrsqNFbgKz1JSUnMmzePFi1a0LNnTxYsWOCwXlRUFB07dqRly5b88MMPZGZmMnnyZDp06MDBgwfLxLzWf/75R11asnnz5iXdnXJJMtZeTsYJCZ7s3t2IiIiTpKTMA5YASTZ13dzcuK/LfVwOuczJiidhDWzdupVatWpRu15tYs7EYDFZH3zn6enJyy+/fNf3pzSS41h7krH2JGPtScaFt3jxYho2bEhmZiZ79uxh+vTp7Ny5k6ioKJ566imaNm0KQGZmJiaTiS5dutC/f3+bRy+4u7sDMGfOHF544QWefvppvvjiCypXrsy5c+fYs2cPkZGRvP766yWyj2VFenq6umR1YR42XlIKPOgJDg4mOTkZnU5HYmLiLQc9kydPxs3NjQ0bNlCxYkUAWrVqRUhICDNnzmTGjBlF6/ldoCiK+k9oQzLWlsUCe/Z4sXx5Bfbs2Qk8D+ywq1e/QX1CHw3l76p/86v5VwD0Oj1OAU5kk43ZbCb6ZLRa38vLi1WrVtGgQYO7tCelmxzH2pOMtScZa08yLrymTZvSunVrADp27IjZbGbKlCmsWbOG4cOHqx+mp6enYzQaAahWrRpt27a1a+v999+nc+fO/PDDDzbfHzx4MBaLReM9ESWlwIOeO1k6zmQysWHDBoYMGaIOeMA6YOrUqROrV68uE4MeDw8PXFxc5OFWGpKMtZGSYp3CNnv2Gc6enQ8sBhJs6ri6utK7d2/Sm6ez1byV0+bTYIYArwBGtx7Nc62fwzTCxFdffcWKFStITEykSpUq9OvXjzFjxlCrVq0S2bfSSI5j7UnG2pOMtVcSGael3bWXuiUtbv3MGQBdvnzZ5vtOTk63nXadlJREYGCgwzKZsn17Tk5O6pWeskSTn7ro6GgyMjIcXrpt3rw527ZtIzMzU73M6MjRo0cJDg62GTRlZWURFRUFgK+vL0FBQTbbnDp1ivT0dABatGhhU5aYmEh8fDwAQUFB+Pr6qmVms5kjR44AUKFCBerWrQugfoodExPDoUOHAGjSpInNySolJYXY2FjAuv5+3ml7//zzD4qi4OHhYfep+Llz57h69SoAoaGhNnmkpqYSHW39ZD0gIMDuh/PYsWPqJfLGjRvblF28eJGEBOsfuPXq1cPb21sty8zM5MSJEwBUrlzZ7g/XkydPkpGRgU6ns3v/rly5woULFwDrADb306RNJhNHjx4FoGLFitSpU8dm2zNnznDjhvVhlk2bNlWfUdCgQQOSk5OJi4vj0KFD1KhRAz8/P5ttc7L39PQkJCTEpiwuLo7kZOt9KA0bNsTNzU0tu379OjExMQBUrVqVatWq2Wx79OhRTCYTbm5uNGzY0KbswoULXLlyBYD69evb3Kyfnp6uziOuUqUKNWvWVMtOnz5NZGQkmZmZ1K9fn4EDB9qcFBISErh48SIAtWvXplKlSmpZdnY2x48fB6BSpUrUrl3bpk/R0dGkpqYC0KxZM5sTc1JSEufPn+fUKXfWravOihVbyM6eB2wjr/r162MwGBg6dCj+/v60n9eezIuZhFYK5bX2rzGo5SDc9dZj8Zr5Gv369aNfv34EBgYSEBBg09aRI0cwm824u7sTGhpqU3b+/HmSkqzT50JCQmwugaelpXH69GnAuoRr9erVbbaNiooiKysLvV5PkyZNbMouXbqk/pKrU6dOiZ4jcri4uJCRkYHRaMRkMsk5guI7RwAkJyeTkZGh7mteZekcAXDixAkyMzNxdnZWp+Tk0PocAVCzZk2bB/1ZLBYOHz4MWB8EWK9ePZt2z549y7Vr1mXrGzVqhKurq1p27do1zp49CyDniHzOETExMVy/fh3Q5u8IFxcXLBaLzXtuNpvJysrC27vkpx/lXNgyGo3qVRhXV1ebHBRFUX/OnZ2dbX5WwXr857w3Hh4e6s9ugwYNMJlMZGdnAzgcVOZs5+TkhLu7Ow888AA//PADDRo0oHv37oSGhuLs7Iy7u7vDDHPazbtUc0ZGhvrHv4eHh11/TSYTYJ06nvuclrtdvV5v8zMF1vOwxWJx2G5+GVosFjIzM2+ZYU67ORnm/vskd4b5vTc5GeaWlZWF2WwGsMsw73tzqwwdtZuT4Y0bN0hPT7c5R+S8pwWhyaAn5yRWuXJlu7LKlSujKArJycm3HGWDNaS8l38VRVHf6JwDKe82OeV5WSwWtczRpcs7bTdvn3K3m/OG521XURSHa5qbzeYitXurfc3dbt59zZ2ho3Zz9tXR6P1O2y0t783t9jXnD1RHn+rk9944ajc6OpqxY8eyZcsWm7offPABH3/8MY8++uht2829rwV5z41GWL3ahdmz9Rw9+jWwELhkVw8ncG7oTPagbAYaBuJfwfqL9ZUWrzA4eDD3Vr6XFs1b4Kq/efK9XYbZ2dlYLBaHD9oraIaO9tVRRnfabmk5DuUcYd9uaXlv7uY5Im+7RqPRYZkW5wi48wwdbZ+7T3nJOcK2T3fSrhbniFtdOSqN0+hu1afc0/4c1cnJMDMzk19++YV3332XBx98kCeffDLfdnOX5fx33rx59OzZkylTpjBlyhQ8PDxo27Ytffr0wWAwqHnerk+3m6pYkD45arcor1nQbe9kXwvT7u22zflZul0Ojn6WC0rT66v5Xfa63SUxvV5vV0en06k/9I5+wPV6/S0fmOTk5KSWOfoFdqft5u1T7nYdndRdXFxQFMVhu87OzkVqN/d/b9Vu3n3NnaGjdnP21dH7c6ftlpb35nb7mrOft8vwdu2ePn2adu3aqZ+c53b06FG6d+/Ojz/+SK9evfJtN/e+3qq/uft68SLMnWvi8883kpwcAfwEODgJuAH3Aw+A2cNMXHYcE1dPZNGQRQDcW/Verrlfs9/Owb7m5erqitlsLnKGjvbVYrEU+OemNB6Hco6wb7e0vDd36xzhqF2z2eywrDjPEbndaYa329e85Bxh26c7aVeLc8St/qbS6XQkJKQ7vJpQ2KsUua8m5HeVAnB4k3t+fc0pc1TnoYcesvn/Ro0asXbtWvR6PSaT6Y7+5sz5b0hICIcPH+bXX39l+/btHDhwgN9++42dO3eybNkyfv31V1xdXW/bp/zK8vv+7bbNveLcrcqK0u6ttivsvhalT/lNlcu7+p6jNgtCpxThY4DExET8/f2ZMmWKzbLVJ06coGHDhnzxxReMGTPGZpvXX3+dWbNmkZ6erl7Gslgs6rSGHBUqVJB5laJM6NKlC9u3bwes00bCw8OpVKkS33zzDfv37wfAx8eHc+fO2UwjKgxFgT174MMPz7FhwwIUZSEQb19RB57NPKk7qC5H04+i5AyGkoD/wkM+D7Fry64i9UUIIUTpcO7cuXJ7n+WSJUsYPnw4y5Yto1GjRty4cYMVK1YQERFBt27d2Lx5s902JpMJFxcXxo0bx+zZs+/odVJTUxk+fDiRkZFEREQQHh5e3LsiCsnR8V2YsYMmV3rq1auHh4eHOkc4t8OHD1O/fv187+cpLc6dO6d+GldeTyYlraxnfOLECXXAExQUxMGDB9V53s8//zy9e/dm7dq1pKSk8N133xEWFlao10lLg2++MTNjxk/ExMwFNgG20yuCgoLw9PS0zlfXg6WvhSPp1jnm7QLbMazRMN4f/j5nos+wm93ExsYSHBxc6H0XN5X147gskIy1JxlrTzIuvEaNGqmLF3Tq1Amz2cyCBQuIjIykb9++ar3s7OxbTlHMj7e3NxMmTCAyMlK9P0s4lp2drV6dyXulrzTT5FKKXq/niSeeYNWqVTajsLi4OHbu3Env3r21eNlid/XqVRITE9UbiUXxK+sZ//bbb+rXBoPB5sZWJycn3njjDfX/d+/eXeD2T5+G8PAL+Pm9w3PP1SUmpgewgZwBj5OTE20fbkvniZ2pPqm6OgXBVefKq/95lfcffp+NXTYy+97ZtKnYhqeefEptO+cmUFF0Zf04LgskY+1JxtqTjIvPhx9+iK+vL5MnT7a5x8pkMjm8ryq3nMVC8spZKCTvwhnCVk7Gt8u5tCnUlZ7NmzeTlpamDmiOHTtGZGQkAN27d8fT05Np06bRpk0bevTowYQJE9SHk/r5+fHqq68W3x4IUYJyViQBxwt35B4E5a6bH4sFNm2yMG3aVv78MwJYD9je3BoQGEBwp2BO1z7N766/W795AZoENIGj1tca23gsgYGBHDp0SP3UKy4uTm0j7xxuIYQQoqzw9fXl//7v/3jjjTf49ttvGTRo0B1v27BhQ7p160a3bt2oW7cumZmZ/P7778yaNYvAwEBGjBihYc9FSSnUoGf06NHq8ooAP/74Iz/++CNg/fS4du3aNGzYkF27djF+/Hj69u2LXq+nc+fOzJw50245xtIqNDS0TK5DXpaU9YwbNWqkfv3tt99iMBhs9mX58uXq13mXDc7r6lX49NNLfP75IpKT5wNnbcp1Oh0t27fkfIPzJFRPIMHZunCCv6c//Zv059lmz7I+ez1Hd1qXBX7rrbeYP3++mvGBAwdYs2YNAH5+frRs2bIouy5yKevHcVkgGWtPMtaeZFy8XnjhBebMmcPbb7/NgAED1GWnb/ccpA8++IBt27bxzjvvcOnSJcxmM0FBQQwePJg333zT4dL44qaycIuKI0VayKC4yEIGoqyyWCyEhoaqz5Po378/r732Gj4+Pnz99ddMnz4ds9mMk5MTZ86ccXgPzV9/WZg0aQdbtkRgsawBbC8X+wf4Ywg3MGrUKI5mH+Xxbx+ngmsFejfqzbPNnqVznc7onawn+Li4OEJCQtSrSi1atKBHjx6cOXOGyMhI9YrPxIkTeffddzVMRgghxN1SnhcyEKK4FjKQQY8QRbRu3Tp69uyZ75rxr732Gh999JH6/9nZsHhxAu+/v4TY2HlAtP1GNYF24HTViaE1h/Lee+9Rxb8K606so3tIdzxcHE9PW7JkCSNGjLhlfzp06MCWLVtkepsQQpQTMugR5VlxDXpkVCFEET355JMsX77c4XLUOp2OV199lRkzZgAQH68wdOhOKlV6hueeq0ls7HhsBjyeQHtgHDAKCAWLl4XFixfTtm1bLl+8TJ/GfW454AEYNmwYGzdupE2bNjbf9/X15Y033pABjxBCCCH+deRKTz5SU1OxWCw4OTkV+fkqwrHylPG1a9dYtmwZv/32G0ajkSZNmjBixAhq167Dxo1JTJq0lEOHIoCTdtu61HfBeI8RQgEF3OLdaB/QnsDrgaz7dh3Xr18HuOUzCW7l2LFjHDt2DE9PT1q3bi3zlDVSno7j0koy1p5krD2tMpYrPTeZzTcX/nH0sFdRdHc7Y5nedhfkrHrl4uJCixYtSrQv5VV5zjg1VeHtt39j/vwIUlIigSybcj8/P4YPH05YWBj/t/3/WLlhJZyEVlVasfvn3Xh5eQHWpTVbt27NhQsXAOuzgRo0aHDH/SjPGZcWkrH2JGPtScba0ypjGfTclJ6eri4W4enpWdLdKZfudsYyvU2IUurAgWQ6dfqUSj6N+eijB0lJWY7NgKc20Ae2/b2NDz/8kJCQEKoeqfeyRlQAACAASURBVGp93uhpmPzmZHXAAxAYGMgLL7yg/v+2bdvu1q4IIYQQQpQLhVqy+t8iICBAfXKy0EZ5ydhsVvjkk33Mnh1BfPwPQKZtBQ9wvdeVTn078WynZ3ms/mP4e91cuj09PV392tEKb7m/l5aWVqC+lZeMSzPJWHuSsfYkY+1Jxtq73XLVoujKasZls9d3SWBgYEl3odwr6xnHxl7j5Ze/YePGCLKzD9uVu9d1p2OfjowbMY7OIZ1xdXZ12E6dOnXUr9esWWM37SHn+ToAdevWLVAfy3rGZYFkrD3JWHuSsfYkY+25ujr+PSuKT1nNWO7pEaKAFEVh+fL9vPNOBCdPfg+k25RXrOjDsGFDCAsLo2nTpnfU5tmzZ6lbty6KouDm5sYnn3zCsGHDyMjI4JNPPlGfqePn58e5c+fK7IPBhBBCFD+5p0eUZ8V1T49c6RHiDl29eoPx45fz3XcRpKUdtK9QE2p2rsnvH/9OjSo1CtR27dq1MRgMzJ07l6ysLMaMGcOYMWPs6k2ePFkGPEIIIYQQBSSDHiFuY8uWA0ycGMFff32LotjeT6Nz06E0V9C11vFm3zeZ/NDkW05hu53PPvuM9PR0li1bZlem0+mYMmUKzz//fKHaFkIIIYT4N5P5Y/k4duwYhw4d4tixYyXdlXLn5MmTvPnmm3Tv3p2ePXsyc+ZMsrOzS7RPGRkZJCYmYjKZuHEjlQkTFlClShu6dWvNgQPzbQY8lev5w5OgvKoQOiSUfW/u493O7xZ6wAPg4uLC0qVL2bdvH8OHD6dVq1bcd999vPTSSxw7dowpU6ag0+kK3K4cx9qTjLUnGWtPMtaeZFwwS5YsQafT8eeff9p8PzExkdatW+Pt7a2uaDp16lR0Op3Df3PmzLmr/b5w4QJTp07l4EEHs0I0sHfvXqZOnUpKSspdeb2MjAzS09PJyMi4K69XXORKTz6MRiNGo7Gku1GuZGVlMXr0aBYvXmzz/bVr1zJ79mxWrFhBu3bt7mqf1q9fz+zZs9mxYwfghpNTfRQlFkVJtann7u7NoEEDGTpqEIN/H0xySiIvtX2J6Z2n4+HiUWz9adu2LW3bti229uQ41p5krD3JWHuSsfYk46I7f/48Xbp04fLly2zfvt3u9+WaNWuoWLEiOp1OnQ6ee7Ggu+HChQtMmzaN2rVr07JlS81fb+/evUybNo1hw4bh4+Oj+espikIpWBKgwGTQkw8XFxeb/4qiURSF4cOH89133zksj4+P59FHH2XPnj135SShKAoTJkzgww8/BPyAICAOi+WoTb3Q0HsY++Jwhg4aSsWKFQH4JvAbTBYTD9V+SPN+FpUcx9qTjLUnGWtPMtaeZFw0p06d4pFHHsFoNLJ7926aNWtmV+fee++lSpUq6HQ6PDyK7wNJcVPOrJPCzD4pUUopYDablZSUFJt/ZrO5pLslitmePXsUQAEUDw8P5YMPPlCioqKUbdu2KR06dFDLunXrdlf68957HygQpICX+to3/+kVcFO8vLyU9QfXKyGfhShf7f/qrvRLCCGEKIi4uLiS7oImFi9erADK/v37lb///lsJCAhQ6tatq0RHR9vVnTJligIoV65cKfDrmM1mZcaMGUpoaKji6uqq+Pv7K4MHD1bOnTtnUy84OFgZOnSo3fYPPfSQ8tBDDymKoig7d+508DcFypQpUxRFUZShQ4cqXl5eypEjR5TOnTsrnp6eip+fnzJ27FglLS1NbTMmJkYBlMWLF9u9Xu72cvY777+dO3cWOIfSytHxXZixg1zpEXfNggUL1K9nz55NeHg4AKGhobRv357Q0FDi4uLYsmULcXFxBAUFFXsfMjIyWLYskhkzIoiJ2WNXXrt2c8aMGcLmzRvZ+ctO0tpm8eSaJ1FQmP37bEbdOwq9k/zYCCGEKBvSsm/9QGtnJ2fc9e53VNdJ52QzlbsgdYvqt99+Y+rUqdSqVYutW7fm+7wjs9mMyWRS/1+n0932YbCjR49m3rx5PP/88/To0YOzZ8/y1ltvsWvXLv766y/8/PzuuK/33nsvixcvZvjw4UyaNInHH38cgJo1a6p1jEYj3bt3x2AwMGHCBPbu3cu7775LbGws69evv+PXAhg1ahRXr17l888/Z9WqVWo2jRs3LlA7/wby15u4a44cOaJ+PXjwYJsyd3d3+vXrx8yZM1EUhePHjxfroCcqKorp0yP48celZGUl5yl1oWfPZxk//jnuv/9+dDodjTqFsnPRTqgKCgr/396dx0VV9Q8c/wzDDi6AiAIp7uK+a5pJiVqkmbuSpphLLu1pi5pa+UQWlZkabtmTSpqmv9S0RdHH1AwtNTQ1NVdUFBQB2YY5vz94uA8DAwJyZen7fr14Kfeee+653zlzmTPnnnNGtBjBvEfmSYNHCCFEueL6rmu++4IaBLEleIv2e/UPqnM747bVtN1qd2PnqJ3a737z/Lh++7rVtO282xE1Nqp4BbbixRdfpEqVKuzYsQNPT88C09aoUcPidx8fHy5evJhv+uPHj7N48WImTpzI/Pnzte2tW7emY8eOfPTRR8yZM6fQZa1cubK2Rl+9evWsjtFNT0/n5Zdf5rnnngOgR48e2NnZMW3aNPbs2VOksc2+vr7a56XWrVvj5+dX6GP/aWT2NnHP2Nr+r8GQe0EpgFu3bllNW1xpaWl8+eVqmjbthr+/PytXfpyrweMG2DN69Ag2bFhBp06dyFSZvL3rbfpt7QdeQDJ47vDk3/3+jZuT212XSQghhBBF8/jjj5OQkMALL7xAZmZmgWl/+uknoqKitJ/vvvuuwPSRkZEAjBo1ymJ7hw4d8Pf3Z/v27XdV9vw8+eSTFr8HBwdblEeUPPnaugCXL18mMzMTo9FYYFeqKJwHHniAffv2AfD+++/z/vvvazG+evWqNsGBo6Mjbdq0KfZ5/vrrLz7+eDErVqzgdq5voWxsHOjefRBjxjzOkCGDAYiKikIphcFgIDo2mlm7ZmFWZjgGbIY6ze7trC8lTeqx/iTG+pMY609irL/SiHHS60n57jPaWD72FftKbL5pbQyW35Offf5sodPerRkzZtCqVSveeustzGYzK1euzPeRNX9/f+1xNHv7Oy8jERcXB2D19fD29ubcuXN3UXLrbG1t8fDwsNiW3UOVXZ6yLOcSI4WJcVkhjZ4CxMbGkpGRgZ2dnfwBKAHjx48nLCwMs9nMBx98wPHjx2nXrh2XLl1i/fr1Wu9PcHAwbm5F61VJT09n48aNvP9+OAcO7Miz38OjEZMmjee5557SbjQfftiR/Qf288ftP5gxY0bWTbVGK6a2m8q6Zes49c0pAIYOHXqXV166pB7rT2KsP4mx/iTG+iuNGLvYu5R62pIwe/ZsDAYDs2fPxmw2s2rVKqtPhZhMJjIyMjAYDIX6QJ79meDy5csW424ga+rpnON5HB0dSUtLy5PH9evXizTux2QyERcXZ9HwuXLlikV5sqfbzn2+stAoMplM2pfF0ugRwop69eoRGhrK1KlTAdi8eTObN2+2SFO3bl3efffdQud55swZFi5czJIln3PrluU3VAaDHR07DmD27PH06NHNYmrFq0lXqRtSl/0P7IdKMOezOSxatIg6depw+PBhbRCkl5dXni5vIYQQQtx7s2bNwsbGhpkzZ6KUYvXq1Xf9OPzDDz8MwMqVK2nfvr22PSoqij///JNp06Zp2/z8/Dhy5IjF8SdPnuTEiRMWjR4HBweAAhfvXLVqlTamB2D16tUABAQEAFmfPxwdHfOc7//+7//y5FWY8wlp9BSoXr16mM1mbGxk6FNJmTJlCu7u7rz55pvExMRo2w0GA3379mXRokVUr169wDwyMjL+u6BoOLt3/5Bnf6VK9Rk1ahwzZozKM+DxQMwBPtn/CWuOriE9Mx0qAYlAZYg/GU98fLyWtlq1amzZsqXIvU5ljdRj/UmM9Scx1p/EWH8S47v35ptvYmNjw4wZM1BKERERYdHwcXBw0HpJCqNRo0aMGzeO+fPnY2Njw6OPPqrN3nbffffx4osvamlHjBjB8OHDmThxIgMGDODcuXPMnTs3z2eNevXq4eTkxKpVq/D398fV1RVvb2+8vb2BrEfCwsLCSEpKon379trsbY8++igPPPAAkPW5aPjw4Sxfvpx69erRsmVLfv31V61xlFP2ekXz5s1j5MiR2NnZ0ahRIypVqlT4wBZBdiOr3NFhOu0ik3V6/nnS09PV5s2b1fz589XSpUvV33//fcdjzp49q954Y5pyd69hdV2d5s0HqXXrfrJad87dPKfuX3q/YhbaT6elndTqI6vVzt071eDBg5Wrq6sClK+vr5o2bZqKiYnR4cqFEEKIkvVPWKcntzlz5ihA9e/fX6Wnp5fIOj0NGzZUdnZ2qlq1amr48OF51ukxm81q7ty5qm7dusrR0VG1a9dO7dixw2KdnmwRERGqcePGys7Ozuo6PUeOHFEBAQHKyclJubu7qwkTJqikpCSLPBISEtSYMWOUl5eXcnFxUX369FFnz561yC/b66+/rry9vZWNjY2s05MPg1JKlVJ7S2M2m/PM5lWpUiX5JkRgMpnYsmULCxaE89NP28hdXR0d6zBw4DhCQ0Pw8fGyPNZs0qaYTs9Mx+/jrOk1hzQbwrMdnqWDT4c855Nv4IQQQpQ3Fy5c4L777ivtYohCGDVqFOvWrSMpKf8JJoQla/W7OG0HebxNlBqlFAdiDpCQlkBDj4bUqvK/dXkuXrzI0qVL+eyzpVy9einXkUbq1n2c114bz9NP98hTwQ/GHGT+r/P55eIvHJ14FKONEXujPV8N/IqGHg2p4VqD/EiDRwghhBCi4pFGTwFSU1O12SmK8nyouDOT2cTk7yYTfjAcgCmdpvBu4Lts27aND+d/xI4ftmc9uJaDjZMbLbsF8s7MSQR16maxLyMzg2/+/IZPfv2EvRf2att3nt1J97rdAXiw9oP6XlQZJfVYfxJj/UmM9Scx1p/EWH9ms1n7v3yRqY/yGmNp9BTgxIkT2tSSLVu2LO3iVBi30m4x+OvBfH/6ewwY8M305dcvfsVvTF0uXjxvmdgANATagrn+DX63+Zo9yQ0IIqvRc+bGGdovyZptJT4laxICOxs7BjcdzLMdnqWjb8d7eGVlk9Rj/UmM9Scx1p/EWH8SY/3lbFg6OzuXdnHyWLFiBStWrCjtYtyVsh7j/EijR9xT526eo3dEb6KvRONw3oGGJxty9JdjXDBfsEhnsK1Gw04B9BnfCldfE7HJsVy7fY1rt6/h7+mvpbuadFVr7Hi5ePFMu2cY33Y8NSvJGhNCCCGEECKLNHoK4O7urq2cLO7e0dijBHwawPW91zH+biQtPo0/+CNHCgOVKz9KSMh43nknCFfXO1fP1jVbEz0hmqT0JFrVaIWDbTmdRlFHUo/1JzHWn8RYfxJj/UmM9Wdra6v1Qgh9lNcYy+xtQndms5kdO3awYNECNm7cCObcKWrSrNnTvP32GPr2rU05ew8JIYQQpUpmbxMVmczeJsq8a9eusXz5cpYuXcqpU6fy7Hdw6MmAAc8wd25vfHzsSqGEQgghhBDin0AaPaJEKaXYtWsX4eHhrF+/noyMjFwpqlOr1mhefXUs48bVxVZqoBBCCCGE0Jl85BQlIi4uji+++ILFixdz4sSJPPttHDoT2O0F3nuvL61a2ZdCCYUQQgghxD+VNHoKcPLkSUwmE7a2tjRs2LC0i1PmKKX4+eefCQ8PZ926daSlpVkmcAZa2jL4wfksfv0ZqlTJm8fdxjg6Opo1a9YQGxuLh4cHAwYMoG3btsW7oApK6rH+JMb6kxjrT2KsP4mx/mQtJP2V1xhLo6cAKSkp2nz6IovJZGLNmjWsWrWKAwcOcO3atbyJfO2gYwZuLWrww9NbaOfTJt/8ihvjGzduMHLkSDZt2mSx/d133+Whhx4iIiICLy+vIuVZUUk91p/EWH8SY/1JjPUnMdaf2WwulzOLlSflNcYyPVoBDAaD9vNPp5QiNDSUKlWqMHz4cLZu3ZqrweOOnVdvjJMcYEwGLQJbcPj5Xwts8EDxYpyWlsajjz6ap8GTLTIykocffphbt24VOs+KTOqx/iTG+pMY609irD+JcdHt3buXWbNmcfPmzVI5/6hRo3B1dS2Vc4uSJT09BWjRokVpF6HUJSQksHLlSubOncv58+etpHgA6ImNzWmemVuN+X9vJqhBEF8N+IpKDpXumH9xYvz555+zf/9+ADw8PJgxYwZdu3YlKiqKt956i5iYGI4dO8Ynn3zC9OnTi5x/RSP1WH8SY/1JjPUnMdafxLjo9u7dy+zZsxk1ahRVq1a9Y3pnZ+d7UKp/tvIaY2n0iDyUUkRFRREeHs5XX33F7du3c6WogsEwghYtepOZuY7o6Dcxm+H7OQ1Zv2E9jzd+HFsb/arW4sWLtf9/++23dO7cGYA2bdrQtWtXmjVrhlKKJUuWMG3aNPlGTQghhPgHSElJwcnJqbSLIcooebxNaBITEwkPD6dNmzZ07NiR5cuX52rwdMLW9hNmzLjE5cvz2flLRzq8Y6bNA1mPsJ08eZLKMZV1bfCYzWYOHz4MQOPGjbUGT7YmTZrQpUsXAM6fP19q3eFCCCGEuDuzZs1iypQpANSpU0d7NHDnzp34+fnRu3dvvvnmG1q3bo2joyOzZ88GYMGCBTz44INUr14dFxcXmjdvzty5c60sowHbtm2je/fuVKlSBWdnZ/z9/Xn33XcLLNeePXuoVq0avXv3Jjk5ueQvXOhCenoEv/32G+Hh4axevZqkpKRceysBI4DWwFY2bfLnkUdcOHvzLA8vf4xj147Rok8L+Dkr9a+//kpgYKBuZc35LHR6errVgXQ5Z5EraGVeIYQQoqL78MMP+fDDD0u1DC+99BIvvfRSkY8bM2YM8fHxzJ8/n2+++YaaNWsCWV9wQtbnlz///JPp06dTp04dXFxcADh9+jTBwcHUqVMHe3t7Dh8+zJw5czh+/DjLly/X8l+2bBljx46lW7dufPbZZ1SvXp2TJ08SHR2db5nWrl3LU089xejRo5k/fz5Go7HI1yVKhzR6CnDt2jUyMzMxGo14enqWdnFKVHJyMhEREYSHh3PgwAErKdpjbz+ep54aSlLSx3z11VgA/koNYN23X7Hm6BqS0pPwruTNkKpDOMIRIOvRuKIoaowNBgMdO3Zk7969nDlzhu+++47HHntM279v3z6ioqIAaNSoEVWszZP9D1OR63FZITHWn8RYfxJj/ZVGjG/dusWlS5fuybkKKkNx+Pr6UqtWLQBat26Nn5+fxf7Y2FiOHTtmMf13RkYG7733HgB2dnaYzWa6du2Kh4cHISEhhIWF4ebmRlJSEi+99BJdunRhx44d2heo3bt3z7c87733HtOmTeNf//oXU6dOLdY1VQQ5e8zK00yE0ugpQExMjDa1ZEX5A3D48GHCw8NZuXIliYmJufa6AsHUqjWel19uw8iRUKUKLFtWg6+OAt3gucPPaanbebdj/aD1jOw3UtvWunXrIpWnODGeMGECe/fuBWDgwIFMmjSJBx98kKioKObNm6ele+aZZ4pUloqqItbjskZirD+Jsf4kxvorjRhXrlwZHx+fe3KugsqghxYtWuRZ7ygjI4NDhw4xZ84cfvnlF+Lj4y32nzx5Uvvy9NatW0ycOPGOY3+VUowfP54vvviC1atXM3jw4BK/lvIkIyNDe9JGGj2iRCUmJvKf//yHhIQEfH196dKlS5G6U2/fvs3atWsJDw/nl19+sZKiNTCeoKBgnn++EoGBYFLpmJUZcGTIkCFM/nwyqdVSIR38bvvx7APP0sixEeOHjWfnzp0A1K5dm169epXEJRdo2LBhRERE8N1335GamkpYWBhhYWEWabp06SKNHiGEEP94xX20rDzIftwtpwsXLtCzZ08aNGjAvHnz8PPzw9HRkV9//ZVJkyaRkpICoC274evre8fzpKens2bNGpo2bcqjjz5ashch7hlp9BSgdu3amM3mUhsXkpqayrRp01iyZIlFr4yfnx8zZsxg9OjRBR5/9OhRwsPD+fLLL60M6HcGhlG58njGj2/HhAkG6tSB6NhoXvlxOV8e+ZLZAbOZ2H4irq6ufBDyAZMXToZoOJt+lpc/ftkiNxsbGxYsWFDkZ1uLE2Oj0cj69et56aWXWLZsGenp6Rb7goODWbhwYblaJVhPpV2P/wkkxvqTGOtPYqw/iXHJstZD891335GcnMy6deuoV6+etv3QoUMW6bJ72i5evHjH8zg4OBAZGUmvXr0IDAxk27ZtuLm53WXpyy97e/vSLkKxSKOnAIWZD74gZrOZgwcPcuXKFdzc3OjYsWOhuwHT0tIICgoiMjIya4OBrDkFbsPZs2d5+umnuXDhAjNnzrQ4LjU1lXXr1vHZZ5+xZ88eKzk3B8bTsuVwXnihCkOGQJrhJhF/RPD5T58TFROlpdx0chMT208EYNLTk3C2cebFF18kIT3BIsfq1auzePFii7E1hVXcGDs6OrJw4UJmzZrFhg0biI2Nxd3dnSeeeKLUu/HLmrutx+LOJMb6kxjrT2KsP4lx0Tk4OABoPTR3Ymub9dE2e1IDQFvGIqfOnTtTpUoVPvvsM4YOHXrHR9xat27Nrl27CAwMJCAggB9//JHq1asX5VIqjOwYlzfls9RlnFKKFStW8K9//YtTp05p22vWrMnzzz/PK6+8cscekY8++khr8Njb21P32bocr3Q8a2cKcAtmnZrFweUHaenXki7OXfhh7Q988cUXeZ5fBUdgCEbjeIYM6cTkyQY6dQJQjPq/Uaw9upZUUyoAtja2PN7ocUa3Gk2v+paPqoWEhDB48GC+/vprfv/9d2xsbOjYsSP9+vXTbkr3WvXq1Rk/fnypnFsIIYQQ+mrevDkA8+bNY+TIkdjZ2dGoUaN80/fo0QN7e3uGDRvG1KlTSU1NZdGiRdy4ccMinaurK2FhYYwZM4bAwEDGjh2Ll5cXp06d4vDhw3z66ad58vb392f37t0EBgby4IMP8tNPPxXq8ThRNhhUUafb0oHZbM4zqL5SpUrltvt3+vTpzJkzJ9/9w4YNY+XKlfleX2p6Kr7dfYk7GofhpoHdu3eTWjOVwC9zTQVtAv4EDgDnrGTkbgsNfXDwa0Zr/zo83N6b5vfVYVCTQRhtshpdfb/qy7cnvqWpZ1Oebv00T7Z4kuou/8xvLoQQQojy6MKFC9x3332lXQzdvPHGG3zxxRdcuXIFs9lMZGQko0aNolmzZmzevDlP+s2bNzN9+nROnDiBh4cHwcHBPPzwwzz66KNERkYSEBCgpd26dSvvvfceBw4cQCmFn58fI0eO1GZnGzVqFOvWrbNY0uPSpUsEBgaSmprK9u3bqVu3ru4x+CezVr+L03aQRk8BTCaTNjtFYbvydu/ezYMPPqj9/tBDD9GtWzcOHTrExo0bte3Lly8nJCTE4tiTcSdZ9tsylv22jLjUONgLPVQPfvjhB8zKTJopjVRTKtt/2c6QgUMwJ5ghM3cJHMCrAQRFQy2yHovL5fRzp6nrlvUG/f3y75jMJtp5t7tj164eihNjUTQSY/1JjPUnMdafxFh/esW4ojd6ikIppcW4ND7X/BPc6xiXVKNH7moFOHr0qDa1ZMuWLQt1zCeffKL9PzQ0lFdffVX7ff369QwcOBCA+fPnExISQkpGCuv/XM/S35ay69yu/2WUCCSDVx0vAEwZJjZt3ER4eDg7duywcuaGwHicnUfy1IAqDAq5imvNS8QkxnDp1iXOXD/DniN7OBt3lsEvDaZHjR6MHj2a1g2KNsV0SStOjEXRSIz1JzHWn8RYfxJj/UmM9ZeSkqJ9IHd2di7t4lRI5TXG0ugpYdu3bwfA3d2dF1980WLfgAEDaNWqFYcOHeL3338nLi6OTqs7cSo+a9yPjcGGoAZBBDcOZmTnkWSkZrApehMvv/wyK1euJDY2NtfZ7IABwHgaNuzG5MkGnnoqa20d8PnvT1Zj6/WQ17UW8VWucpCDhIaGMmnSJD7++GP5Vk8IIYQQQlRY8km3AJUrV8ZkMhWpQXD79m0ga4B97in9ElITUC0VHAZUVku5T8M+bDi+gadbP01IqxB8KvuQkZHBovaL2L17NwkJCXz44Ye5zlIfGAeMoG3bdEJDa9G9O1jrYfz+++8ZPHgwZrPZankXLFiAwWBg/vz5hb7GklScGIuikRjrT2KsP4mx/iTG+pMY689oNGq9EEIf5TXGMqanhDVt2pRjx44BWd3YTZo0Yc/5PSz5bQlrj64lxZQCX4BLrAvx8fGkk46znTM2BhvOnTvHkiVLWL58OZcvX86Vsy3wBDCerGmnl9Os2R4OHvwm3/nSlVI0b96co0ePAlk9Ta+99hru7u5EREQwe/ZsMjIygKwVihs0aKBLTIQQQgihHxnTIyoyGdNTRoWEhDBlyhQA+vfvT9spbVl9cfX/EsQCtjBixAjs7e2xMdmwedNmwsPD2bp1K3nboH5k9eqEAOeBT4G1dO7clo0bNxa4QNT+/fu1Bk/79u1Zu3atVhmmTZsGZM00B7Bs2TJCQ0Pv9vKFEEIIIYQoc6TRU8LGjh3LokWLOHPmDCc8T3Di4omsHYfImlr6Iri5uTFixAhmzZrF0qVLuXTpUq5cjMDjwHjs7QNp1+5v7Ow+xNb2N3x8fBgxYjMPP/zwHXvC/vzzT+3/wcHBedI/+eSTWqMnu3dKCCGEEEKIikYaPSWsSpUq/Pjjj3R+vjNX213N2vgDsDfrv1WrVqVZs2Z07drVyjib+8jq1RlNrVreTJgATz8Nnp71gblFLkvOXqC8C5Zabiuox0gIIYQQQojyTBo9BThz5ow24LAoC0/VrVuXdZ+s45GVj+BzyQeXFBeSGiQRFxdHfHw8u3fvzpHaBniMrLE6jxAYaGTSJOjdG+52nGOXLl0wGAwopViyZAnP11jjlgAAIABJREFUPvssnp6eQNZ4n/fee09L261bt7s7WTEVN8ai8CTG+pMY609irD+Jsf4kxvpLS0vTBtk7ODiUdnEqpPIaY2n0FCAxMVGbT7+oOtfuTHjTcNb/vp5vj3xLZqblKqIGgw9KjQGeplKl+xg1CiZOhMaNS6bsAH5+fvTu3ZtNmzZx5coVWrZsydixY/Hw8CAiIoJffvkFAFdXV5566qmSO3ER3E2MReFIjPUnMdafxFh/EmP9SYz1l5mZWS5nFitPymuMpdFTgrad2oYh2cBv3/3GkiVL+Pvvv3OlMACPAM+gVBBNmtgyaRKMGAGVKulTpvnz53Pw4EFiYmK4fPkyb731lmWJDAaWLl1KlazFfYQQQgghhKhwZMrqAuTsnTEajfmmM5vNfBTxEVNDp2I+ZoZcQ3VsbGpgNj8NjMFo9KNvX5g8GQICrK+tU9LOnTvH5MmT2bJli8XscP7+/nzwwQcEBQXpX4h8FDbGovgkxvqTGOtPYqw/ibH+9IpxRZ6yesWKFYSEhAAQGRlJQECAxX6lFA0aNOD06dN069aNyMhIbV9564koL3J+lswZ45iYGBYvXswTTzxBq1atSux85WLK6qSkJKZPn87atWuJj4+ncePGvPbaawwdOlTP05aYO92Qrl27xooVK/hk4SdcPHsxz36DoSdKjcds7oOnpx3jxsH48XCv70u1a9dm06ZN/P333+zZs4e0tDT8/f25//77S/2GIH9Y9Scx1p/EWH8SY/1JjPVXXmKckpLC2rVr+frrr7l+/Tqenp4MGTKEgQMH4ujoWCplqlSpEsuWLcvT6Nm1axenT5+m0n8fmSntzzX/BPnFOCYmhtmzZ+Pn51eijZ6Somujp3///kRFRREaGkrDhg1ZvXo1w4YNw2w2ExwcrOepdaOUYteuXYSHh/PNN9+Qnp5usd/Wtjom02hgLErVpVMnmDQJBg2C0h7rVadOHerUqVO6hRBCCCFEmRUdHU3v3r05d+6cxfbNmzczc+ZMNm/ejL+//z0v15AhQ1i1ahULFiygcuXK2vZly5Zx//33c+vWrXteppKUkpKCo6OjNNp0pNvzY9999x0//vgjCxcuZPz48Tz00EMsWbKEHj16MGXKlDwD+8u6uLg4PvzwQ/z9/XnooYf46quvLBo8Bu8qYPw3JtMFHBzeJSSkLgcOwL59MHx46Td4hBBCCCEKcuXKFQIDA/M0eLKdOXOGHj16cO3atXtcMhg2bBgAERER2raEhATWr1/P6NGj86RPT0/nnXfeoXHjxjg4OODp6UlISEiesq9Zs4aePXtSs2ZNnJyc8Pf357XXXiM5Odki3ZkzZxg6dCje3t44ODjg5eVF9+7dOXTokJbGYDAwa9asPGXx8/Nj1KhR2u8rVqzAYDDwww8/MHr0aDw9PXF2diYtLQ2Av/76i+DgYKpXr46DgwP+/v4sWLDAIs+dO3diMBhYvXo1r776KjVr1sTV1ZU+ffpw9epVEhMTGTduHNWqVaNatWqEhISQlJRkkYdSioULF9KqVSucnJxwc3Nj4MCBnDlzxiJdQEAAzZo1Iyoqiq5du+Ls7EzdunUJDQ3Vll/ZuXMn7du3ByAkJASDwWARj8LET2+6NXo2bNiAq6srgwYNstgeEhJCTEwM+/fv1+vUJSY+Pp4tW7YwZMgQfHx8ePnllzlx4sT/EjjZQGdgqD8q/ix+943gvffsuXgRli+Htm1Lrejlxo0bN4iLi+PGjRulXZQKS2KsP4mx/iTG+pMY66+sx/ijjz7i6tWsNQbbtGnDnj17MJlM7Nq1ixYtWgBw6dIlPv3003tetsqVKzNw4ECWL1+ubYuIiMDGxoYhQ4Zo20wmE+np6Tz++OOEhoYSHBzMli1bCA0N5ccffyQgIICUlBQt/V9//UVQUBDLli1j27ZtvPDCC6xdu5Y+ffpYnD8oKIiDBw8yd+5cfvzxRxYtWkTr1q25efNmsa9p9OjR2NnZ8eWXX7Ju3Trs7Ow4duwY7du3Jzo6mrCwMDZv3sxjjz3Gc889x+zZs/Pk8cYbbxAbG8uKFSsICwtj586dDBs2jAEDBlClShUiIiKYOnUqX375JW+88YbFsePHj+eFF14gMDCQjRs3snDhQo4ePUrnzp21epDtypUrPPnkkwwfPpwNGzbQq1cvXn/9dVauXAlk1ZfPP/8cgOnTp7Nv3z727dvHmDFjdItfkSmddOrUSbVv3z7P9ujoaAWo8PBwbVtmZqa6efOmxU9mZqZeRSu0p556SgF5fpycuimMnyuG9lRM8lcBQbHq22+VMplKu8Tlz6FDh1RUVJQ6dOhQaRelwpIY609irD+Jsf4kxvrTK8bnz5+/6zzMZrPy9PRUgLKzs1OXLl2y2P/3338ro9GoAOXr63vX5yuszz//XAEqKipKRUZGKkBFR0crpZRq3769GjVqlFJKqaZNm6pu3bqp5ORk7Zj169db5BUVFaUAtXDhQqvnMpvNKiMjQ+3atUsB6vDhw0oppa5fv64A9fHHHxdYVkDNnDkzz/batWurkSNH5rmmp556Kk/aXr16KV9fX5WQkGCxffLkycrR0VHFx8crpZQWiz59+like+GFFxSgnnvuOYvtTzzxhHJ3d9d+37dvnwJUWFiYRboLFy4oJycnNXXqVG1bt27dFKD279+vlFIqOTlZJSUlKX9/f9WrVy8tXXZ8P//8c4s8Cxu//Fir38VpO+g2picuLs7qwlvu7u7a/oIcPXqU2rVrWzy3mZaWxvHjxwFwc3OjVq1aFsf89ddf3L59G4CWLVta7Lt+/TqXLl0CoFatWri5uWn7MjMziY6OBrIGymWXu2vXrvz73/8GwM6uKmbzSDIznyElpTGVK8NTXsH0HnSeGq4xQAzx8d7a4p/Zjhw5glIKJycnGjZsaLHvwoULxMfHA9CoUSOLwYFJSUmcPn0agOrVq1OzZk2LY48dO6bN9d+kSROLfZcvXyY2NhaAevXq4erqqu1LTU3Veqvc3d3zzIZx8uRJUlJSMBgM2rc62a5du0ZMTAyQNTlC1apVtX0mk4mjR48CWd/G5B47dObMGW2WjWbNmuUZzJmRkcHhw4fx8fGhWrVqFvsOHz4MgLOzMw0aNLDYd/78ee0bs+wu7Gy3bt3Spg338vKiRo0aFscePXoUk8mEg4MDjXMtkBQTE6N1gdevXx8XFxdt3+3bt/nrr78A8PDwwNfX1+LYEydOkJqaitFopFmzZhb7YmNjuXz5MpDV3Z1zqvD09HT+/PNPAKpUqYKfn5/FsadPn9a6pps3b24xQ0lcXBwXL2ZNpuHr64uHh4e2T/13lpWMjAxOnz5NvXr1LPI9e/YsCQkJQNaMfvb29tq+hIQEzp49C0DNmjWpXr26xbHR0dFkZmbi6OhIo0aNLPZdvHhRe583aNAAZ2dnbV9ycjKnTp0CwNPTE29vb4tjjx8/TlpaGra2tjRt2tRi35UrV7RvoOrUqVOq94hsJpMJyIpx9sKD2W7evKk9KuLtLfcIKPo94saNG2RkZABoj1LkJPeILMW9R5jNZv744w8txrnJPSLL3dwj/v77b27dumU1xiVxj7Czs8NsNlu85pmZmdrjUra2thavG2SNIVH/XWvFycmJxMRErU536tSJqlWrcvv2bRwcHDAajfj5+dG2bVt+/fVXLl68yM2bN3F2ds6Tb2pqqvY+zfmaQtY9MjsG9vb2FvdKpZTWA2M0GvMsepmenk779u2pW7cuy5YtIyQkhKioKMLCwjCZTJjNZu2827Zto2rVqvTp0weTyaS9po0bN6ZGjRrs3LmTCRMmAPDnn38yc+ZMdu3axbVr1yxmJjt69Cj169fH0dGRevXq8f7775OZmclDDz1Ey5YtLRbpdHJyylPe7L8NuWWXs3fv3qSnp2sxTE1NZfv27YwdOxbIWtcpO9+goCA+/fRTfv75Z7p3705qaqqWR858s//G9+jRw+Kc/v7+bNy4kdjYWFxdXdm0aRMGg4Hhw4djMpm0HrLKlSvTokULdu7caXG8l5cXzZo1084L0LRpU6Kjo0lLSyMzM9NiXzaTyYSjoyN169bNEz8bGxutHtrY2OSZJCM7homJidy+fduiPmW/pkWh60QGBQ3GutNALZPJZFHxIOsNkf1msVaRTCZTvjdts9lc4B9Na/l6eg6gWrUdXL/+KBkZA8EhnZqPrWTGI40YMcKAq6s98fHunDmT1TVnbZxSRkYGSimrC5FlZmZq5819rTnLm1+++V1rznxzX2vOGFrLNzuG1l6fwuZblNfGx8eHxMRE4uLiyMjIKPRrYy3fgupLfjE0mUxWpzcs6LUpTL4ZGRlW9xWUb/axd8rXmoLqt4+Pj/YH1drxOcuU252uNT09HbPZbHVGopKIobUYFTbfe3GPyObo6Kj9sS7Oe1nuEXd+bbJZW1NM7hGW+VpT2Prt4OCQpwEt94gsd3OPyJmvj4+Pxfu9JO4RORsPOVmLT859Ofc7ODhgMBhQSnHp0iXMZrPF+9xsNmtfahiNRoxGo9X8c+db2DLlPC6/fAGGDx/OZ599RlpaGg0bNqRr165azJVSGI1Grl+/zs2bN/M0yLJdv34dyPryKDAwEAcHB958802aNm2Kq6srFy5coH///ty+fVs779atWwkNDWXu3Lm8/PLLuLu7M2TIEN58802LhnVhrjWbl5eXRZq4uDhMJhOLFi1i0aJF+ZY9Z6yyOxOyZdeTnI1yQItFSkoKLi4uXL16FaUUXl5eVs+Tu+Hu7u6unTf7HE5OTlqj5U6v++bNm5k7d65F/J588kneeOMNKlWqVGBdspb3nWJrjW6NHg8PD6u9OdnfWuZ+kXKztbXN80fVYDBogbb2Bre1tc13lWMbGxttn7U/YLnzjYuL49SpeK5fX43RqHiwewwXA57gr/QDxDS6gqvr23nytXZTt7OzQylltbxGo1E7Nve1FibfnP/ml2/ua80ZQ2v5ZsfQ2geawuZblNemWrVqGI1GbdaVwrw2+eVbUH3JL4Y50+RU0GtTmHwzMzOt7iso3+xjC8q3OPXbw8ND+0N1p2vN7U7Xam9vT2Zmpi4xNJvNRX7f3Mt7RE7Ozs7aH93ivJflHlH418bahwu5R/xv393Wb2dn5zy97XKPyHI394ic+Xp6elqkKYl7RH5fJBfmy+fsfx0cHOjatSv/+c9/OHPmDKtWrWLEiBFa+iVLlmi9hQEBARiNRqv5Zw9gv9N5CzquoHxHjBjBO++8w2effcacOXPypLGxscHT0xMPDw+2bdsGoPVAGAwGHBwctOmtd+zYQUxMDNu2baNr1644OjpiY2OjjTPJWSY/Pz+WLVsGZPV4r127llmzZpGens78+fO1GGb3ruW8jvyebrKxsbG4Vjc3N4xGI8HBwYwbNw4gT++Hr6/vHWOcXwxzXlO1atUwGAzs3r0bBwcHrbcHsuprzt7r3Mfmfh9kby/onLVr12bx4sXY2dlZxO/27dt88sknBb7m1vIu1ix3BT78dhfGjh2rXF1dVUZGhsX2iIgIBag9e/Zo28rSmJ7Dhw+r/v37//e5VRsFU5WXdxtVf3Z9xSxUlXerqN9ifiuVsgkhhBBC5FYSY3qUUmrdunUWY5iDgoLUW2+9pR555BGL7Zs3by6R8xVGzjE92V599VXVt29fFRMTo23LHtOjlFIrV65UgPrll18KzPvbb79VgNq3b5/F9oEDB1odm5Jbq1atLMavN2rUSAUFBVmk2b59uwKsjunJeU3ZAgMDVcuWLVVaWlqB584e0/P1119bbM8v75kzZypAXbt2TSml1M8//6wAtWbNmgLPo1TWmJ6mTZvm2T5y5EhVu3Zt7fcjR44UOGYqt9zxy0+ZH9PTr18/lixZwvr16y1m1fjiiy/w9vamY8eOep262Hbs2EHv3r0tZvXAZi5Xu8JVBcZMIxsHbaR1zdalV0ghhBBCCB3079+fsWPHsmTJEiBr+ZHvvvvOIs3kyZMJCgoqjeJpQkNDC9w/dOhQVq1aRVBQEM8//zwdOnTAzs6OixcvEhkZSd++fenXrx+dO3fGzc2NZ555hpkzZ2JnZ8eqVau0cYLZjhw5wuTJkxk0aBANGjTA3t6eHTt2cOTIEV577TUt3YgRI5gxYwZvvvkm3bp149ixY3z66adWH8vNz7x583jggQfo2rUrEyZMwM/Pj8TERE6dOsWmTZvYsWNH0YKVjy5dujBu3DhCQkI4cOAADz74IC4uLly+fJmff/6Z5s2ba+OeCqtevXo4OTmxatUq/P39cXV1xdvbm+vXrxcqfnrTrdHz6KOP0qNHDyZMmMCtW7eoX78+ERERbNu2jZUrV5a5VYlv3brFoEGDtAZPjRo1CHosiG1O24ipFgMmyFyVyda0rQS8F1C6hRVCCCGEKGEGg4Hw8HCaNm3KBx98oD3OBlmTk0yZMoWJEyeW+QU0jUYj3377LfPmzePLL7/k3XffxdbWFl9fX7p160bz5s2BrMe/t2zZwssvv8zw4cNxcXGhb9++rFmzhjZt2mj51ahRg3r16rFw4UIuXLiAwWCgbt26hIWF8eyzz2rppkyZwq1bt1ixYgUffPABHTp0YO3atfTt27fQZW/SpAm//fYbb7/9NtOnTyc2NpaqVavSoEGDEm9shoeH06lTJ8LDw1m4cCFmsxlvb2+6dOlChw4dipyfs7Mzy5cvZ/bs2fTs2ZOMjAxmzpzJxIkTCxU/vRmUKsZIoEJKSkpi2rRprF27lvj4eBo3bszrr7/O0KFDLdKZzWZt1p5slSpVsvrMrF4WLFjA5MmTAejZsycbN25k5Ncj+frvrzFihLWQeSyTqlWrcunSpTwzkojiOXz4sDbDVO6ZckTJkBjrT2KsP4mx/iTG+tMrxhcuXMgz0+LdMplM7N+/n7i4ODw9PenQoUOZ+8LamuzJBwwGg3xW08m9jrG1+l2ctoOus7e5uroyb9485s2bp+dpSsSWLVu0/8+dOxcnJyeaVW3GBsMG3mn7DtGnoll5bCU3b95k7969BAYGlmJphRBCCCH0Y2trS5cuXUq7GEKUGF0bPeVJ9uxhgLaWwDD/YXT27kztKrXJaPS/KSxztyxF8WXPepXfdJvi7kmM9Scx1p/EWH8SY/1JjPVnY2Oj9UIIfZTXGMu77r9q1arFnj17gKy52Pv160eDBg1oQNZCd9nTHgIl3oX8T5Z7IUFR8iTG+pMY609irD+Jsf4kxvrLPcWzKHnlNcb3btBMGZdzLvrJkyezfft2lFIkJCQwdepUrUHk7+9P27ZtS6uYQgghhBBCiCKSnp7/6tWrF/fffz/79u0jJiaGwMBA3NzcSEpKslidedasWeWuO08IIYQQQoh/Munp+S8bGxs2btxo0Ytz48YNrcFjMBj48MMPGTx4cGkVUQghhBDCKh0n4xWi1JRkvZaenhyqV6/O3r17WbduHcuXL+fEiRM4ODjQuXNnXnvtNZo0aVLaRaxwzp8/rw3qrFWrVmkXp0KSGOtPYqw/ibH+JMb60yvGDg4OpKSkyBTNQFpamvZ/BweHUixJxXUvY5yUlFRi9VoaPbnY29sTHBxMcHCwxXz60uDRR3Zvmp2dnfyR1YnEWH8SY/1JjPUnMdafXjH28PDg0qVL1KxZEzs7uxLLtzzKzMwslzOLlSf3IsZKKZKSkrhx4wY+Pj4lkqc0eoQQQgghyjGj0YinpyexsbGYzebSLk6pSkxM1D6QV6pUqbSLUyHdqxg7Ozvj4+NTYoviGlQZeAi0OKuq3gtpaWnaiypdpPqQGOtPYqw/ibH+JMb6kxjrT2KsP4mx/spCjIvTdpBGjxBCCCGEEKLcKE7bQVoVQgghhBBCiApNGj1CCCGEEEKICq1MTGRg7Qm7sjAQL2e3mQyG04fEWH8SY/1JjPUnMdafxFh/EmP9SYz1VxZibK2dcKcRO2ViTI/JZCI5Obm0iyGEEEIIIYQoh1xcXLC1zb8/Rx5vE0IIIYQQQlRo0ugRQgghhBBCVGjS6BFCCCGEEEJUaGViTI/ZbM4zIMlgMGAwGEqpREIIIYQQQoiySCmVZ+ICGxubsr84qRBCCCGEEELoRR5vE0IIIYQQQlRo0ugRQgghhBBCVGjS6LEiKSmJF154AW9vbxwdHWnVqhVfffVVaRerwti5c6c2Ziv3zy+//FLaxSt3EhMTmTp1Kj179sTT0xODwcCsWbOspv3tt98IDAzE1dWVqlWr0r9/f86cOXNvC1wOFTbGo0aNslqvGzdufO8LXY7s2LGD0aNH07hxY1xcXPDx8aFv374cPHgwT1qpw8VT2BhLHS6+Q4cO8dhjj1GrVi2cnJxwd3fn/vvvZ+XKlXnSSj0unsLGWOpxyVq6dCkGgwFXV9c8+8pTXc5/BZ9/sP79+xMVFUVoaCgNGzZk9erVDBs2DLPZTHBwcGkXr8L417/+xUMPPWSxrVmzZqVUmvIrLi6OxYsX07JlS5544gmWLl1qNd3x48cJCAigVatWrF27ltTUVN588026du3KoUOH8PT0vMclLz8KG2MAJycnduzYkWebyN+iRYuIi4vj+eefp0mTJly7do2wsDA6derE999/z8MPPwxIHb4bhY0xSB0urps3b3LfffcxbNgwfHx8SE5OZtWqVYwYMYKzZ88yffp0QOrx3ShsjEHqcUm5dOkSr7zyCt7e3iQkJFjsK3d1WQkLW7ZsUYBavXq1xfYePXoob29vZTKZSqlkFUdkZKQC1Ndff13aRakQzGazMpvNSimlrl27pgA1c+bMPOkGDRqkqlWrphISErRtZ8+eVXZ2dmrq1Kn3qrjlUmFjPHLkSOXi4nKPS1f+Xb16Nc+2xMRE5eXlpbp3765tkzpcfIWNsdThktexY0d13333ab9LPS55uWMs9bjk9O7dW/Xp08dqTMtbXZbH23LZsGEDrq6uDBo0yGJ7SEgIMTEx7N+/v5RKJoR1hZne3WQysXnzZgYMGEDlypW17bVr1+ahhx5iw4YNehezXJMp9PVVvXr1PNtcXV1p0qQJFy5cAKQO363CxFjoo1q1atjaZj1YI/VYHzljLErOypUr2bVrFwsXLsyzrzzWZWn05BIdHY2/v3+eN0+LFi20/aJkTJo0CVtbWypXrkyvXr34+eefS7tIFdbp06dJSUnR6nFOLVq04NSpU6SmppZCySqelJQUatSogdFoxNfXl8mTJxMfH1/axSp3EhIS+O2332jatCkgdVgPuWOcTerw3TGbzZhMJq5du8bChQv5/vvvefXVVwGpxyWloBhnk3p8d2JjY3nhhRcIDQ3F19c3z/7yWJelWZxLXFwcdevWzbPd3d1d2y/uTpUqVXj++ecJCAjAw8ODU6dO8f777xMQEMCWLVvo1atXaRexwsmut9n1OCd3d3eUUty4cYOaNWve66JVKC1btqRly5ba2LRdu3bx0UcfsX37dqKioqwOAhXWTZo0ieTkZKZNmwZIHdZD7hiD1OGSMHHiRMLDwwGwt7fnk08+Yfz48YDU45JSUIxB6nFJmDhxIo0aNWLChAlW95fHuiyNHisKeoxFHnG5e61bt6Z169ba7127dqVfv340b96cqVOnSqNHR1K39fXiiy9a/N6jRw9at27NwIEDWbJkSZ79wroZM2awatUq5s+fT9u2bS32SR0uGfnFWOrw3XvjjTcYM2YMsbGxbNq0icmTJ5OcnMwrr7yipZF6fHfuFGOpx3dn/fr1bNq0id9///2O9bE81WVp9OTi4eFhtTcnu0vUWotW3L2qVavSu3dvPvvsM1JSUmSGlRLm4eEBWO+pjI+Px2AwULVq1XtdrH+Efv364eLiItOxF9Ls2bN55513mDNnDpMnT9a2Sx0uOfnFOD9Sh4umVq1a1KpVC4CgoCAAXn/9dUaOHCn1uIQUFOP8ZgyTelw4SUlJTJo0iWeffRZvb29u3rwJQHp6OpA1g56dnV25rMsypieX5s2b8+eff2IymSy2//HHH4BMqawnpRRQ9r4ZqAjq1auHk5OTVo9z+uOPP6hfvz6Ojo6lULJ/BqUUNjZyu72T2bNnM2vWLGbNmsUbb7xhsU/qcMkoKMYFkTpcfB06dMBkMnHmzBmpxzrJGeOCSD2+s+vXr3P16lXCwsJwc3PTfiIiIkhOTsbNzY0nn3yyXNZleeVz6devH0lJSaxfv95i+xdffIG3tzcdO3YspZJVbDdu3GDz5s20atWqzL1JKgJbW1v69OnDN998Q2Jiorb9/PnzREZG0r9//1IsXcW2bt06bt++TadOnUq7KGXa22+/zaxZs5g+fTozZ87Ms1/q8N27U4zzI3X47kRGRmJjY0PdunWlHuskZ4zzI/W4cGrUqEFkZGSen169euHo6EhkZCTvvPNOuazLBpX99brQ9OzZkwMHDvDee+9Rv359IiIiWLJkCStXruTJJ58s7eKVe8HBwdSqVYt27dpRrVo1/vrrL8LCwjh9+jRbt24lMDCwtItY7mzdupXk5GQSExMZPXo0gwYNYvDgwUBW17+zszPHjx+nffv2tGnThtdee01bRCw+Pr5sLiJWxtwpxteuXSM4OJihQ4dSv359DAYDu3bt4uOPP6ZevXrs378fFxeXUr6KsiksLIxXXnmFRx55xOqH8ewPKVKHi68wMT537pzU4bswbtw4KleuTIcOHfDy8uL69et8/fXXrFmzhilTpjB37lxA6vHdKEyMpR7rY9SoUaxbt46kpCRtW7mry6W1QFBZlpiYqJ577jlVo0YNZW9vr1q0aKEiIiJKu1gVxrvvvqtatWqlqlSpooxGo/L09FT9+vVTv/76a2kXrdyqXbu2Aqz+/P3331q6AwcOqO7duytnZ2dVuXJl9cQTT6hTp06VXsHLkTvFOD4+XvXr10/5+fkpJycnZW9vrxo0aKCmTp2qbt68WdrFL9O6deuWb2xz/5mSOlw8hYmx1OG7s3z5ctUvAyRtAAAAtElEQVS1a1dVrVo1ZWtrq6pWraq6deumvvzyyzxppR4XT2FiLPVYH/kt+Fqe6rL09AghhBBCCCEqNBnTI4QQQgghhKjQpNEjhBBCCCGEqNCk0SOEEEIIIYSo0KTRI4QQQgghhKjQpNEjhBBCCCGEqNCk0SOEEEIIIYSo0KTRI4QQQgghhKjQpNEjhBBCCCGEqNCk0SOEEEIIIYSo0KTRI4QQQgghhKjQpNEjhBBCCCGEqND+HyQLousoK/jHAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_rts(noise=1.)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, we must understand that this smoothing is predicated on the system model. We have told the filter that what we are tracking follows a constant velocity model with very low process error. When the filter *looks ahead* it sees that the future behavior closely matches a constant velocity so it is able to reject most of the noise in the signal. Suppose instead our system has a lot of process noise. For example, if we are tracking a light aircraft in gusty winds its velocity will change often, and the filter will be less able to distinguish between noise and erratic movement due to the wind. We can see this in the next graph.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_rts(noise=7., Q=.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This underscores the fact that these filters are not *smoothing* the data in colloquial sense of the term. The filter is making an optimal estimate based on previous measurements, future measurements, and what you tell it about the behavior of the system and the noise in the system and measurements.\n",
    "\n",
    "Let's wrap this up by looking at the velocity estimates of Kalman filter vs the RTS smoother."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "gu\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_rts(7.,show_velocity=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The improvement in the velocity, which is an hidden variable, is even more dramatic. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fixed-Lag Smoothing\n",
    "\n",
    "The RTS smoother presented above should always be your choice of algorithm if you can run in batch mode because it incorporates all available data into each estimate. Not all problems allow you to do that, but you may still be interested in receiving smoothed values for previous estimates. The number line below illustrates this concept."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 800x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kf_book.book_plots import figsize\n",
    "from kf_book.smoothing_internal import *\n",
    "\n",
    "with figsize(y=2):\n",
    "    show_fixed_lag_numberline()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "At step $k$ we can estimate $x_k$ using the normal Kalman filter equations. However, we can make a better estimate for $x_{k-1}$ by using the measurement received for $x_k$. Likewise, we can make a better estimate for $x_{k-2}$ by using the measurements recevied for $x_{k-1}$ and $x_{k}$. We can extend this computation back for an arbitrary $N$ steps.\n",
    "\n",
    "Derivation for this math is beyond the scope of this book; Dan Simon's *Optimal State Estimation* [2] has  a very good exposition if you are interested. The essense of the idea is that instead of having a state vector $\\mathbf{x}$ we make an augmented state containing\n",
    "\n",
    "$$\\mathbf{x} = \\begin{bmatrix}\\mathbf{x}_k \\\\ \\mathbf{x}_{k-1} \\\\ \\vdots\\\\ \\mathbf{x}_{k-N+1}\\end{bmatrix}$$\n",
    "\n",
    "This yields a very large covariance matrix that contains the covariance between states at different steps. FilterPy's class `FixedLagSmoother` takes care of all of this computation for you, including creation of the augmented matrices. All you need to do is compose it as if you are using the `KalmanFilter` class and then call `smooth()`, which implements the predict and update steps of the algorithm. \n",
    "\n",
    "Each call of `smooth` computes the estimate for the current measurement, but it also goes back and adjusts the previous `N-1` points as well. The smoothed values are contained in the list `FixedLagSmoother.xSmooth`. If you use `FixedLagSmoother.x` you will get the most recent estimate, but it is not smoothed and is no different from a standard Kalman filter output."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "standard deviation fixed-lag: 2.616\n",
      "standard deviation kalman: 3.562\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from filterpy.kalman import FixedLagSmoother, KalmanFilter\n",
    "import numpy.random as random\n",
    "\n",
    "fls = FixedLagSmoother(dim_x=2, dim_z=1, N=8)\n",
    "\n",
    "fls.x = np.array([0., .5])\n",
    "fls.F = np.array([[1.,1.],\n",
    "                  [0.,1.]])\n",
    "\n",
    "fls.H = np.array([[1.,0.]])\n",
    "fls.P *= 200\n",
    "fls.R *= 5.\n",
    "fls.Q *= 0.001\n",
    "\n",
    "kf = KalmanFilter(dim_x=2, dim_z=1)\n",
    "kf.x = np.array([0., .5])\n",
    "kf.F = np.array([[1.,1.],\n",
    "                 [0.,1.]])\n",
    "kf.H = np.array([[1.,0.]])\n",
    "kf.P *= 200\n",
    "kf.R *= 5.\n",
    "kf.Q *= 0.001\n",
    "\n",
    "N = 4 # size of lag\n",
    "\n",
    "nom =  np.array([t/2. for t in range (0, 40)])\n",
    "zs = np.array([t + random.randn()*5.1 for t in nom])\n",
    "\n",
    "for z in zs:\n",
    "    fls.smooth(z)\n",
    "    \n",
    "kf_x, _, _, _ = kf.batch_filter(zs)\n",
    "x_smooth = np.array(fls.xSmooth)[:, 0]\n",
    "\n",
    "\n",
    "fls_res = abs(x_smooth - nom)\n",
    "kf_res = abs(kf_x[:, 0] - nom)\n",
    "\n",
    "plt.plot(zs,'o', alpha=0.5, marker='o', label='zs')\n",
    "plt.plot(x_smooth, label='FLS')\n",
    "plt.plot(kf_x[:, 0], label='KF', ls='--')\n",
    "plt.legend(loc=4)\n",
    "\n",
    "print('standard deviation fixed-lag: {:.3f}'.format(np.mean(fls_res)))\n",
    "print('standard deviation kalman: {:.3f}'.format(np.mean(kf_res)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here I have set `N=8` which means that we will incorporate 8 future measurements into our estimates. This provides us with a very smooth estimate once the filter converges, at the cost of roughly 8x the amount of computation of the standard Kalman filter. Feel free to experiment with larger and smaller values of `N`. I chose 8 somewhat at random, not due to any theoretical concerns."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[1] H. Rauch, F. Tung, and C. Striebel. \"Maximum likelihood estimates of linear dynamic systems,\" *AIAA Journal*, **3**(8), pp. 1445-1450 (August 1965).\n",
    "\n",
    "[2] Dan Simon. \"Optimal State Estimation,\" John Wiley & Sons, 2006.\n",
    "\n",
    "http://arc.aiaa.org/doi/abs/10.2514/3.3166"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
